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Finding the Fourth Proportional to 521,004.30, 780,340.05 and 402,290.70

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Solution

The fourth proportional to 521,004.30, 780,340.05 and 402,290.70 is: 602,535.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,004.30 : 780,340.05 = 402,290.70 : x
  2. Step 2: Convert to fraction form
    521,004.30/780,340.05 = 402,290.70/x
  3. Step 3: Cross multiply
    521,004.30x = 780,340.05 × 402,290.70
  4. Step 4: Simplify right side
    521,004.30x = 313,923,544,952.54
  5. Step 5: Solve for x
    x = 313,923,544,952.54/521,004.30
  6. Step 6: Final answer
    x = 602,535.42

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