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Finding the Fourth Proportional to 564,708.32, 846,882.87 and 185,541.67

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Solution

The fourth proportional to 564,708.32, 846,882.87 and 185,541.67 is: 278,253.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,708.32 : 846,882.87 = 185,541.67 : x
  2. Step 2: Convert to fraction form
    564,708.32/846,882.87 = 185,541.67/x
  3. Step 3: Cross multiply
    564,708.32x = 846,882.87 × 185,541.67
  4. Step 4: Simplify right side
    564,708.32x = 157,132,061,994.19
  5. Step 5: Solve for x
    x = 157,132,061,994.19/564,708.32
  6. Step 6: Final answer
    x = 278,253.49

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.