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Finding the Fourth Proportional to 425,002.84, 586,516.82 and 234,023.07

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Solution

The fourth proportional to 425,002.84, 586,516.82 and 234,023.07 is: 322,958.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    425,002.84 : 586,516.82 = 234,023.07 : x
  2. Step 2: Convert to fraction form
    425,002.84/586,516.82 = 234,023.07/x
  3. Step 3: Cross multiply
    425,002.84x = 586,516.82 × 234,023.07
  4. Step 4: Simplify right side
    425,002.84x = 137,258,466,823.04
  5. Step 5: Solve for x
    x = 137,258,466,823.04/425,002.84
  6. Step 6: Final answer
    x = 322,958.94

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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.