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Finding the Fourth Proportional to 402,754.74, 604,158.75 and 118,470.72

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Solution

The fourth proportional to 402,754.74, 604,158.75 and 118,470.72 is: 177,713.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,754.74 : 604,158.75 = 118,470.72 : x
  2. Step 2: Convert to fraction form
    402,754.74/604,158.75 = 118,470.72/x
  3. Step 3: Cross multiply
    402,754.74x = 604,158.75 × 118,470.72
  4. Step 4: Simplify right side
    402,754.74x = 71,575,122,106.80
  5. Step 5: Solve for x
    x = 71,575,122,106.80/402,754.74
  6. Step 6: Final answer
    x = 177,713.92

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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.