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Finding the Fourth Proportional to 516,204.16, 710,713.92 and 440,448.64

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Solution

The fourth proportional to 516,204.16, 710,713.92 and 440,448.64 is: 606,413.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,204.16 : 710,713.92 = 440,448.64 : x
  2. Step 2: Convert to fraction form
    516,204.16/710,713.92 = 440,448.64/x
  3. Step 3: Cross multiply
    516,204.16x = 710,713.92 × 440,448.64
  4. Step 4: Simplify right side
    516,204.16x = 313,032,979,493.07
  5. Step 5: Solve for x
    x = 313,032,979,493.07/516,204.16
  6. Step 6: Final answer
    x = 606,413.13

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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.