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Finding the Fourth Proportional to 514,075.38, 709,446.21 and 284,632.67

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Solution

The fourth proportional to 514,075.38, 709,446.21 and 284,632.67 is: 392,805.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,075.38 : 709,446.21 = 284,632.67 : x
  2. Step 2: Convert to fraction form
    514,075.38/709,446.21 = 284,632.67/x
  3. Step 3: Cross multiply
    514,075.38x = 709,446.21 × 284,632.67
  4. Step 4: Simplify right side
    514,075.38x = 201,931,569,082.53
  5. Step 5: Solve for x
    x = 201,931,569,082.53/514,075.38
  6. Step 6: Final answer
    x = 392,805.36

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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.