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Finding the Fourth Proportional to 508,905.60, 763,358.40 and 416,745.60

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Solution

The fourth proportional to 508,905.60, 763,358.40 and 416,745.60 is: 625,118.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,905.60 : 763,358.40 = 416,745.60 : x
  2. Step 2: Convert to fraction form
    508,905.60/763,358.40 = 416,745.60/x
  3. Step 3: Cross multiply
    508,905.60x = 763,358.40 × 416,745.60
  4. Step 4: Simplify right side
    508,905.60x = 318,126,254,423.04
  5. Step 5: Solve for x
    x = 318,126,254,423.04/508,905.60
  6. Step 6: Final answer
    x = 625,118.40

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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.