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Finding the Fourth Proportional to 458,567.70, 687,851.55 and 143,024.10

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Solution

The fourth proportional to 458,567.70, 687,851.55 and 143,024.10 is: 214,536.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,567.70 : 687,851.55 = 143,024.10 : x
  2. Step 2: Convert to fraction form
    458,567.70/687,851.55 = 143,024.10/x
  3. Step 3: Cross multiply
    458,567.70x = 687,851.55 × 143,024.10
  4. Step 4: Simplify right side
    458,567.70x = 98,379,348,872.36
  5. Step 5: Solve for x
    x = 98,379,348,872.36/458,567.70
  6. Step 6: Final answer
    x = 214,536.15

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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.