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Finding the Fourth Proportional to 464,177.50, 640,774.79 and 292,348

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Solution

The fourth proportional to 464,177.50, 640,774.79 and 292,348 is: 403,572.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,177.50 : 640,774.79 = 292,348 : x
  2. Step 2: Convert to fraction form
    464,177.50/640,774.79 = 292,348/x
  3. Step 3: Cross multiply
    464,177.50x = 640,774.79 × 292,348
  4. Step 4: Simplify right side
    464,177.50x = 187,329,228,306.92
  5. Step 5: Solve for x
    x = 187,329,228,306.92/464,177.50
  6. Step 6: Final answer
    x = 403,572.40

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Why These Related Problems?

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