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Finding the Fourth Proportional to 362,014.48, 497,808.46 and 314,184.78

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Solution

The fourth proportional to 362,014.48, 497,808.46 and 314,184.78 is: 432,037.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,014.48 : 497,808.46 = 314,184.78 : x
  2. Step 2: Convert to fraction form
    362,014.48/497,808.46 = 314,184.78/x
  3. Step 3: Cross multiply
    362,014.48x = 497,808.46 × 314,184.78
  4. Step 4: Simplify right side
    362,014.48x = 156,403,841,487.24
  5. Step 5: Solve for x
    x = 156,403,841,487.24/362,014.48
  6. Step 6: Final answer
    x = 432,037.53

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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.