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Finding the Fourth Proportional to 581,514.76, 871,381.85 and 391,270.47

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Solution

The fourth proportional to 581,514.76, 871,381.85 and 391,270.47 is: 586,306.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    581,514.76 : 871,381.85 = 391,270.47 : x
  2. Step 2: Convert to fraction form
    581,514.76/871,381.85 = 391,270.47/x
  3. Step 3: Cross multiply
    581,514.76x = 871,381.85 × 391,270.47
  4. Step 4: Simplify right side
    581,514.76x = 340,945,984,798.69
  5. Step 5: Solve for x
    x = 340,945,984,798.69/581,514.76
  6. Step 6: Final answer
    x = 586,306.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.