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Finding the Fourth Proportional to 534,785.60, 802,178.40 and 429,809.60

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Solution

The fourth proportional to 534,785.60, 802,178.40 and 429,809.60 is: 644,714.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    534,785.60 : 802,178.40 = 429,809.60 : x
  2. Step 2: Convert to fraction form
    534,785.60/802,178.40 = 429,809.60/x
  3. Step 3: Cross multiply
    534,785.60x = 802,178.40 × 429,809.60
  4. Step 4: Simplify right side
    534,785.60x = 344,783,977,232.64
  5. Step 5: Solve for x
    x = 344,783,977,232.64/534,785.60
  6. Step 6: Final answer
    x = 644,714.40

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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.