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Finding the Fourth Proportional to 384,147.40, 576,221.10 and 162,502.60

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Solution

The fourth proportional to 384,147.40, 576,221.10 and 162,502.60 is: 243,753.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,147.40 : 576,221.10 = 162,502.60 : x
  2. Step 2: Convert to fraction form
    384,147.40/576,221.10 = 162,502.60/x
  3. Step 3: Cross multiply
    384,147.40x = 576,221.10 × 162,502.60
  4. Step 4: Simplify right side
    384,147.40x = 93,637,426,924.86
  5. Step 5: Solve for x
    x = 93,637,426,924.86/384,147.40
  6. Step 6: Final answer
    x = 243,753.90

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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.