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Finding the Fourth Proportional to 705,102.96, 973,102.32 and 399,233.24

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Solution

The fourth proportional to 705,102.96, 973,102.32 and 399,233.24 is: 550,975.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    705,102.96 : 973,102.32 = 399,233.24 : x
  2. Step 2: Convert to fraction form
    705,102.96/973,102.32 = 399,233.24/x
  3. Step 3: Cross multiply
    705,102.96x = 973,102.32 × 399,233.24
  4. Step 4: Simplify right side
    705,102.96x = 388,494,792,065.12
  5. Step 5: Solve for x
    x = 388,494,792,065.12/705,102.96
  6. Step 6: Final answer
    x = 550,975.98

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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.