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Finding the Fourth Proportional to 575,710.85, 862,147.10 and 361,948.46

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Solution

The fourth proportional to 575,710.85, 862,147.10 and 361,948.46 is: 542,030.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    575,710.85 : 862,147.10 = 361,948.46 : x
  2. Step 2: Convert to fraction form
    575,710.85/862,147.10 = 361,948.46/x
  3. Step 3: Cross multiply
    575,710.85x = 862,147.10 × 361,948.46
  4. Step 4: Simplify right side
    575,710.85x = 312,052,811,732.60
  5. Step 5: Solve for x
    x = 312,052,811,732.60/575,710.85
  6. Step 6: Final answer
    x = 542,030.45

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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.