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Finding the Fourth Proportional to 562,809.24, 776,754.12 and 345,148.02

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Solution

The fourth proportional to 562,809.24, 776,754.12 and 345,148.02 is: 476,351.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    562,809.24 : 776,754.12 = 345,148.02 : x
  2. Step 2: Convert to fraction form
    562,809.24/776,754.12 = 345,148.02/x
  3. Step 3: Cross multiply
    562,809.24x = 776,754.12 × 345,148.02
  4. Step 4: Simplify right side
    562,809.24x = 268,095,146,544.84
  5. Step 5: Solve for x
    x = 268,095,146,544.84/562,809.24
  6. Step 6: Final answer
    x = 476,351.71

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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.