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Finding the Fourth Proportional to 384,963, 577,434.78 and 104,472.96

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Solution

The fourth proportional to 384,963, 577,434.78 and 104,472.96 is: 156,706.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,963 : 577,434.78 = 104,472.96 : x
  2. Step 2: Convert to fraction form
    384,963/577,434.78 = 104,472.96/x
  3. Step 3: Cross multiply
    384,963x = 577,434.78 × 104,472.96
  4. Step 4: Simplify right side
    384,963x = 60,326,320,673.55
  5. Step 5: Solve for x
    x = 60,326,320,673.55/384,963
  6. Step 6: Final answer
    x = 156,706.80

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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.