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Finding the Fourth Proportional to 724,464, 999,710.20 and 402,148.75

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Solution

The fourth proportional to 724,464, 999,710.20 and 402,148.75 is: 554,937.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    724,464 : 999,710.20 = 402,148.75 : x
  2. Step 2: Convert to fraction form
    724,464/999,710.20 = 402,148.75/x
  3. Step 3: Cross multiply
    724,464x = 999,710.20 × 402,148.75
  4. Step 4: Simplify right side
    724,464x = 402,032,207,170.12
  5. Step 5: Solve for x
    x = 402,032,207,170.12/724,464
  6. Step 6: Final answer
    x = 554,937.45

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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.