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Finding the Fourth Proportional to 562,409.12, 776,121.18 and 516,658.34

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Solution

The fourth proportional to 562,409.12, 776,121.18 and 516,658.34 is: 712,985.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    562,409.12 : 776,121.18 = 516,658.34 : x
  2. Step 2: Convert to fraction form
    562,409.12/776,121.18 = 516,658.34/x
  3. Step 3: Cross multiply
    562,409.12x = 776,121.18 × 516,658.34
  4. Step 4: Simplify right side
    562,409.12x = 400,989,480,497.64
  5. Step 5: Solve for x
    x = 400,989,480,497.64/562,409.12
  6. Step 6: Final answer
    x = 712,985.38

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.