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Finding the Fourth Proportional to 417,712.14, 626,488.83 and 118,120.48

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Solution

The fourth proportional to 417,712.14, 626,488.83 and 118,120.48 is: 177,158.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,712.14 : 626,488.83 = 118,120.48 : x
  2. Step 2: Convert to fraction form
    417,712.14/626,488.83 = 118,120.48/x
  3. Step 3: Cross multiply
    417,712.14x = 626,488.83 × 118,120.48
  4. Step 4: Simplify right side
    417,712.14x = 74,001,159,748.02
  5. Step 5: Solve for x
    x = 74,001,159,748.02/417,712.14
  6. Step 6: Final answer
    x = 177,158.27

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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.