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Finding the Fourth Proportional to 417,683.61, 625,402.90 and 265,054.34

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Solution

The fourth proportional to 417,683.61, 625,402.90 and 265,054.34 is: 396,869.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,683.61 : 625,402.90 = 265,054.34 : x
  2. Step 2: Convert to fraction form
    417,683.61/625,402.90 = 265,054.34/x
  3. Step 3: Cross multiply
    417,683.61x = 625,402.90 × 265,054.34
  4. Step 4: Simplify right side
    417,683.61x = 165,765,750,429.21
  5. Step 5: Solve for x
    x = 165,765,750,429.21/417,683.61
  6. Step 6: Final answer
    x = 396,869.17

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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.