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Finding the Fourth Proportional to 362,008.48, 497,800.18 and 314,178.79

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Solution

The fourth proportional to 362,008.48, 497,800.18 and 314,178.79 is: 432,029.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,008.48 : 497,800.18 = 314,178.79 : x
  2. Step 2: Convert to fraction form
    362,008.48/497,800.18 = 314,178.79/x
  3. Step 3: Cross multiply
    362,008.48x = 497,800.18 × 314,178.79
  4. Step 4: Simplify right side
    362,008.48x = 156,398,258,214.18
  5. Step 5: Solve for x
    x = 156,398,258,214.18/362,008.48
  6. Step 6: Final answer
    x = 432,029.27

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.