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Finding the Fourth Proportional to 514,476.53, 771,715.10 and 214,793.74

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Solution

The fourth proportional to 514,476.53, 771,715.10 and 214,793.74 is: 322,190.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,476.53 : 771,715.10 = 214,793.74 : x
  2. Step 2: Convert to fraction form
    514,476.53/771,715.10 = 214,793.74/x
  3. Step 3: Cross multiply
    514,476.53x = 771,715.10 × 214,793.74
  4. Step 4: Simplify right side
    514,476.53x = 165,759,572,543.47
  5. Step 5: Solve for x
    x = 165,759,572,543.47/514,476.53
  6. Step 6: Final answer
    x = 322,190.74

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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.