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Finding the Fourth Proportional to 458,666.40, 687,999.60 and 178,001.40

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Solution

The fourth proportional to 458,666.40, 687,999.60 and 178,001.40 is: 267,002.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,666.40 : 687,999.60 = 178,001.40 : x
  2. Step 2: Convert to fraction form
    458,666.40/687,999.60 = 178,001.40/x
  3. Step 3: Cross multiply
    458,666.40x = 687,999.60 × 178,001.40
  4. Step 4: Simplify right side
    458,666.40x = 122,464,891,999.44
  5. Step 5: Solve for x
    x = 122,464,891,999.44/458,666.40
  6. Step 6: Final answer
    x = 267,002.10

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Why These Related Problems?

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