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Finding the Fourth Proportional to 589,865.13, 880,491.46 and 506,163.17

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Solution

The fourth proportional to 589,865.13, 880,491.46 and 506,163.17 is: 755,549.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    589,865.13 : 880,491.46 = 506,163.17 : x
  2. Step 2: Convert to fraction form
    589,865.13/880,491.46 = 506,163.17/x
  3. Step 3: Cross multiply
    589,865.13x = 880,491.46 × 506,163.17
  4. Step 4: Simplify right side
    589,865.13x = 445,672,350,587.96
  5. Step 5: Solve for x
    x = 445,672,350,587.96/589,865.13
  6. Step 6: Final answer
    x = 755,549.58

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.