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Finding the Fourth Proportional to 477,952.40, 717,317.40 and 462,400.40

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Solution

The fourth proportional to 477,952.40, 717,317.40 and 462,400.40 is: 693,976.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,952.40 : 717,317.40 = 462,400.40 : x
  2. Step 2: Convert to fraction form
    477,952.40/717,317.40 = 462,400.40/x
  3. Step 3: Cross multiply
    477,952.40x = 717,317.40 × 462,400.40
  4. Step 4: Simplify right side
    477,952.40x = 331,687,852,686.96
  5. Step 5: Solve for x
    x = 331,687,852,686.96/477,952.40
  6. Step 6: Final answer
    x = 693,976.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.