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Finding the Fourth Proportional to 474,393.27, 654,707.76 and 259,565.61

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Solution

The fourth proportional to 474,393.27, 654,707.76 and 259,565.61 is: 358,225.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,393.27 : 654,707.76 = 259,565.61 : x
  2. Step 2: Convert to fraction form
    474,393.27/654,707.76 = 259,565.61/x
  3. Step 3: Cross multiply
    474,393.27x = 654,707.76 × 259,565.61
  4. Step 4: Simplify right side
    474,393.27x = 169,939,619,096.13
  5. Step 5: Solve for x
    x = 169,939,619,096.13/474,393.27
  6. Step 6: Final answer
    x = 358,225.19

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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.