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Finding the Fourth Proportional to 417,111.90, 625,661.37 and 101,566.14

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Solution

The fourth proportional to 417,111.90, 625,661.37 and 101,566.14 is: 152,347.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,111.90 : 625,661.37 = 101,566.14 : x
  2. Step 2: Convert to fraction form
    417,111.90/625,661.37 = 101,566.14/x
  3. Step 3: Cross multiply
    417,111.90x = 625,661.37 × 101,566.14
  4. Step 4: Simplify right side
    417,111.90x = 63,546,010,298.01
  5. Step 5: Solve for x
    x = 63,546,010,298.01/417,111.90
  6. Step 6: Final answer
    x = 152,347.63

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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.