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Finding the Fourth Proportional to 412,693.32, 569,274.89 and 259,488.71

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Solution

The fourth proportional to 412,693.32, 569,274.89 and 259,488.71 is: 357,942.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,693.32 : 569,274.89 = 259,488.71 : x
  2. Step 2: Convert to fraction form
    412,693.32/569,274.89 = 259,488.71/x
  3. Step 3: Cross multiply
    412,693.32x = 569,274.89 × 259,488.71
  4. Step 4: Simplify right side
    412,693.32x = 147,720,402,697.67
  5. Step 5: Solve for x
    x = 147,720,402,697.67/412,693.32
  6. Step 6: Final answer
    x = 357,942.32

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