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Finding the Fourth Proportional to 521,533.80, 782,883.90 and 403,727.40

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Solution

The fourth proportional to 521,533.80, 782,883.90 and 403,727.40 is: 606,042.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,533.80 : 782,883.90 = 403,727.40 : x
  2. Step 2: Convert to fraction form
    521,533.80/782,883.90 = 403,727.40/x
  3. Step 3: Cross multiply
    521,533.80x = 782,883.90 × 403,727.40
  4. Step 4: Simplify right side
    521,533.80x = 316,071,681,448.86
  5. Step 5: Solve for x
    x = 316,071,681,448.86/521,533.80
  6. Step 6: Final answer
    x = 606,042.56

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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.