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Finding the Fourth Proportional to 413,660.06, 570,788.70 and 232,337.24

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Solution

The fourth proportional to 413,660.06, 570,788.70 and 232,337.24 is: 320,590.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,660.06 : 570,788.70 = 232,337.24 : x
  2. Step 2: Convert to fraction form
    413,660.06/570,788.70 = 232,337.24/x
  3. Step 3: Cross multiply
    413,660.06x = 570,788.70 × 232,337.24
  4. Step 4: Simplify right side
    413,660.06x = 132,615,471,181.19
  5. Step 5: Solve for x
    x = 132,615,471,181.19/413,660.06
  6. Step 6: Final answer
    x = 320,590.47

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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.