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Finding the Fourth Proportional to 409,487.17, 565,084.65 and 228,195.13

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Solution

The fourth proportional to 409,487.17, 565,084.65 and 228,195.13 is: 314,905.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,487.17 : 565,084.65 = 228,195.13 : x
  2. Step 2: Convert to fraction form
    409,487.17/565,084.65 = 228,195.13/x
  3. Step 3: Cross multiply
    409,487.17x = 565,084.65 × 228,195.13
  4. Step 4: Simplify right side
    409,487.17x = 128,949,565,167.76
  5. Step 5: Solve for x
    x = 128,949,565,167.76/409,487.17
  6. Step 6: Final answer
    x = 314,905.02

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.