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Finding the Fourth Proportional to 413,159.04, 619,761.60 and 117,648

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Solution

The fourth proportional to 413,159.04, 619,761.60 and 117,648 is: 176,478.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,159.04 : 619,761.60 = 117,648 : x
  2. Step 2: Convert to fraction form
    413,159.04/619,761.60 = 117,648/x
  3. Step 3: Cross multiply
    413,159.04x = 619,761.60 × 117,648
  4. Step 4: Simplify right side
    413,159.04x = 72,913,712,716.80
  5. Step 5: Solve for x
    x = 72,913,712,716.80/413,159.04
  6. Step 6: Final answer
    x = 176,478.56

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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.