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Finding the Fourth Proportional to 514,082.57, 709,384.68 and 284,631.45

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Solution

The fourth proportional to 514,082.57, 709,384.68 and 284,631.45 is: 392,764.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,082.57 : 709,384.68 = 284,631.45 : x
  2. Step 2: Convert to fraction form
    514,082.57/709,384.68 = 284,631.45/x
  3. Step 3: Cross multiply
    514,082.57x = 709,384.68 × 284,631.45
  4. Step 4: Simplify right side
    514,082.57x = 201,913,187,415.99
  5. Step 5: Solve for x
    x = 201,913,187,415.99/514,082.57
  6. Step 6: Final answer
    x = 392,764.12

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1.5x scale

Why These Related Problems?

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