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Finding the Fourth Proportional to 470,674.96, 706,565.40 and 293,589.52

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Solution

The fourth proportional to 470,674.96, 706,565.40 and 293,589.52 is: 440,729.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,674.96 : 706,565.40 = 293,589.52 : x
  2. Step 2: Convert to fraction form
    470,674.96/706,565.40 = 293,589.52/x
  3. Step 3: Cross multiply
    470,674.96x = 706,565.40 × 293,589.52
  4. Step 4: Simplify right side
    470,674.96x = 207,440,196,634.61
  5. Step 5: Solve for x
    x = 207,440,196,634.61/470,674.96
  6. Step 6: Final answer
    x = 440,729.20

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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.