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Finding the Fourth Proportional to 411,062.58, 566,897.94 and 342,380.25

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Solution

The fourth proportional to 411,062.58, 566,897.94 and 342,380.25 is: 472,177.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,062.58 : 566,897.94 = 342,380.25 : x
  2. Step 2: Convert to fraction form
    411,062.58/566,897.94 = 342,380.25/x
  3. Step 3: Cross multiply
    411,062.58x = 566,897.94 × 342,380.25
  4. Step 4: Simplify right side
    411,062.58x = 194,094,658,421.69
  5. Step 5: Solve for x
    x = 194,094,658,421.69/411,062.58
  6. Step 6: Final answer
    x = 472,177.88

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