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Finding the Fourth Proportional to 409,898.90, 614,848.35 and 378,406.10

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Solution

The fourth proportional to 409,898.90, 614,848.35 and 378,406.10 is: 567,609.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,898.90 : 614,848.35 = 378,406.10 : x
  2. Step 2: Convert to fraction form
    409,898.90/614,848.35 = 378,406.10/x
  3. Step 3: Cross multiply
    409,898.90x = 614,848.35 × 378,406.10
  4. Step 4: Simplify right side
    409,898.90x = 232,662,366,214.94
  5. Step 5: Solve for x
    x = 232,662,366,214.94/409,898.90
  6. Step 6: Final answer
    x = 567,609.15

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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.