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Finding the Fourth Proportional to 580,723.46, 871,042.14 and 243,750.50

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Solution

The fourth proportional to 580,723.46, 871,042.14 and 243,750.50 is: 365,607.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    580,723.46 : 871,042.14 = 243,750.50 : x
  2. Step 2: Convert to fraction form
    580,723.46/871,042.14 = 243,750.50/x
  3. Step 3: Cross multiply
    580,723.46x = 871,042.14 × 243,750.50
  4. Step 4: Simplify right side
    580,723.46x = 212,316,957,146.07
  5. Step 5: Solve for x
    x = 212,316,957,146.07/580,723.46
  6. Step 6: Final answer
    x = 365,607.68

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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.