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Finding the Fourth Proportional to 413,752.69, 570,996.35 and 232,464.97

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Solution

The fourth proportional to 413,752.69, 570,996.35 and 232,464.97 is: 320,811.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,752.69 : 570,996.35 = 232,464.97 : x
  2. Step 2: Convert to fraction form
    413,752.69/570,996.35 = 232,464.97/x
  3. Step 3: Cross multiply
    413,752.69x = 570,996.35 × 232,464.97
  4. Step 4: Simplify right side
    413,752.69x = 132,736,649,372.86
  5. Step 5: Solve for x
    x = 132,736,649,372.86/413,752.69
  6. Step 6: Final answer
    x = 320,811.57

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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.