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Finding the Fourth Proportional to 580,924.14, 871,534.05 and 341,240.72

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Solution

The fourth proportional to 580,924.14, 871,534.05 and 341,240.72 is: 511,947.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    580,924.14 : 871,534.05 = 341,240.72 : x
  2. Step 2: Convert to fraction form
    580,924.14/871,534.05 = 341,240.72/x
  3. Step 3: Cross multiply
    580,924.14x = 871,534.05 × 341,240.72
  4. Step 4: Simplify right side
    580,924.14x = 297,402,901,089.19
  5. Step 5: Solve for x
    x = 297,402,901,089.19/580,924.14
  6. Step 6: Final answer
    x = 511,947.92

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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.