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Finding the Fourth Proportional to 362,009.10, 497,801.07 and 314,179.41

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Solution

The fourth proportional to 362,009.10, 497,801.07 and 314,179.41 is: 432,030.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,009.10 : 497,801.07 = 314,179.41 : x
  2. Step 2: Convert to fraction form
    362,009.10/497,801.07 = 314,179.41/x
  3. Step 3: Cross multiply
    362,009.10x = 497,801.07 × 314,179.41
  4. Step 4: Simplify right side
    362,009.10x = 156,398,844,652.96
  5. Step 5: Solve for x
    x = 156,398,844,652.96/362,009.10
  6. Step 6: Final answer
    x = 432,030.15

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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.