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Finding the Fourth Proportional to 417,130.16, 625,743.83 and 151,016.00

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Solution

The fourth proportional to 417,130.16, 625,743.83 and 151,016.00 is: 226,541.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,130.16 : 625,743.83 = 151,016.00 : x
  2. Step 2: Convert to fraction form
    417,130.16/625,743.83 = 151,016.00/x
  3. Step 3: Cross multiply
    417,130.16x = 625,743.83 × 151,016.00
  4. Step 4: Simplify right side
    417,130.16x = 94,497,327,480.10
  5. Step 5: Solve for x
    x = 94,497,327,480.10/417,130.16
  6. Step 6: Final answer
    x = 226,541.59

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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.