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Finding the Fourth Proportional to 413,384.54, 619,916.88 and 160,631.76

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Solution

The fourth proportional to 413,384.54, 619,916.88 and 160,631.76 is: 240,885.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,384.54 : 619,916.88 = 160,631.76 : x
  2. Step 2: Convert to fraction form
    413,384.54/619,916.88 = 160,631.76/x
  3. Step 3: Cross multiply
    413,384.54x = 619,916.88 × 160,631.76
  4. Step 4: Simplify right side
    413,384.54x = 99,578,339,488.11
  5. Step 5: Solve for x
    x = 99,578,339,488.11/413,384.54
  6. Step 6: Final answer
    x = 240,885.49

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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.