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Finding the Fourth Proportional to 420,785.32, 580,685.88 and 229,798.72

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Solution

The fourth proportional to 420,785.32, 580,685.88 and 229,798.72 is: 317,123.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,785.32 : 580,685.88 = 229,798.72 : x
  2. Step 2: Convert to fraction form
    420,785.32/580,685.88 = 229,798.72/x
  3. Step 3: Cross multiply
    420,785.32x = 580,685.88 × 229,798.72
  4. Step 4: Simplify right side
    420,785.32x = 133,440,871,946.07
  5. Step 5: Solve for x
    x = 133,440,871,946.07/420,785.32
  6. Step 6: Final answer
    x = 317,123.40

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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.