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Finding the Fourth Proportional to 402,535.20, 603,802.80 and 260,817.60

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Solution

The fourth proportional to 402,535.20, 603,802.80 and 260,817.60 is: 391,226.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,535.20 : 603,802.80 = 260,817.60 : x
  2. Step 2: Convert to fraction form
    402,535.20/603,802.80 = 260,817.60/x
  3. Step 3: Cross multiply
    402,535.20x = 603,802.80 × 260,817.60
  4. Step 4: Simplify right side
    402,535.20x = 157,482,397,169.28
  5. Step 5: Solve for x
    x = 157,482,397,169.28/402,535.20
  6. Step 6: Final answer
    x = 391,226.40

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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.