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Finding the Fourth Proportional to 866,576.16, 1,300,502.64 and 411,168.96

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Solution

The fourth proportional to 866,576.16, 1,300,502.64 and 411,168.96 is: 617,056.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    866,576.16 : 1,300,502.64 = 411,168.96 : x
  2. Step 2: Convert to fraction form
    866,576.16/1,300,502.64 = 411,168.96/x
  3. Step 3: Cross multiply
    866,576.16x = 1,300,502.64 × 411,168.96
  4. Step 4: Simplify right side
    866,576.16x = 534,726,317,966.05
  5. Step 5: Solve for x
    x = 534,726,317,966.05/866,576.16
  6. Step 6: Final answer
    x = 617,056.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.