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Finding the Fourth Proportional to 413,615.87, 570,790.21 and 232,327.90

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Solution

The fourth proportional to 413,615.87, 570,790.21 and 232,327.90 is: 320,612.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,615.87 : 570,790.21 = 232,327.90 : x
  2. Step 2: Convert to fraction form
    413,615.87/570,790.21 = 232,327.90/x
  3. Step 3: Cross multiply
    413,615.87x = 570,790.21 × 232,327.90
  4. Step 4: Simplify right side
    413,615.87x = 132,610,490,829.86
  5. Step 5: Solve for x
    x = 132,610,490,829.86/413,615.87
  6. Step 6: Final answer
    x = 320,612.68

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.