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Finding the Fourth Proportional to 402,792.88, 604,150.08 and 122,312.56

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Solution

The fourth proportional to 402,792.88, 604,150.08 and 122,312.56 is: 183,456.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,792.88 : 604,150.08 = 122,312.56 : x
  2. Step 2: Convert to fraction form
    402,792.88/604,150.08 = 122,312.56/x
  3. Step 3: Cross multiply
    402,792.88x = 604,150.08 × 122,312.56
  4. Step 4: Simplify right side
    402,792.88x = 73,895,142,909.00
  5. Step 5: Solve for x
    x = 73,895,142,909.00/402,792.88
  6. Step 6: Final answer
    x = 183,456.92

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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.