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Finding the Fourth Proportional to 417,856.51, 627,089.12 and 151,638.47

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Solution

The fourth proportional to 417,856.51, 627,089.12 and 151,638.47 is: 227,568.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,856.51 : 627,089.12 = 151,638.47 : x
  2. Step 2: Convert to fraction form
    417,856.51/627,089.12 = 151,638.47/x
  3. Step 3: Cross multiply
    417,856.51x = 627,089.12 × 151,638.47
  4. Step 4: Simplify right side
    417,856.51x = 95,090,834,710.45
  5. Step 5: Solve for x
    x = 95,090,834,710.45/417,856.51
  6. Step 6: Final answer
    x = 227,568.15

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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.