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Finding the Fourth Proportional to 458,259.90, 687,892.77 and 364,095.42

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Solution

The fourth proportional to 458,259.90, 687,892.77 and 364,095.42 is: 546,542.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,259.90 : 687,892.77 = 364,095.42 : x
  2. Step 2: Convert to fraction form
    458,259.90/687,892.77 = 364,095.42/x
  3. Step 3: Cross multiply
    458,259.90x = 687,892.77 × 364,095.42
  4. Step 4: Simplify right side
    458,259.90x = 250,458,607,008.11
  5. Step 5: Solve for x
    x = 250,458,607,008.11/458,259.90
  6. Step 6: Final answer
    x = 546,542.71

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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.