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Finding the Fourth Proportional to 457,671.40, 686,507.10 and 426,567.40

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Solution

The fourth proportional to 457,671.40, 686,507.10 and 426,567.40 is: 639,851.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,671.40 : 686,507.10 = 426,567.40 : x
  2. Step 2: Convert to fraction form
    457,671.40/686,507.10 = 426,567.40/x
  3. Step 3: Cross multiply
    457,671.40x = 686,507.10 × 426,567.40
  4. Step 4: Simplify right side
    457,671.40x = 292,841,548,728.54
  5. Step 5: Solve for x
    x = 292,841,548,728.54/457,671.40
  6. Step 6: Final answer
    x = 639,851.10

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.