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Finding the Fourth Proportional to 431,158.58, 595,012.33 and 247,430.77

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Solution

The fourth proportional to 431,158.58, 595,012.33 and 247,430.77 is: 341,462.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,158.58 : 595,012.33 = 247,430.77 : x
  2. Step 2: Convert to fraction form
    431,158.58/595,012.33 = 247,430.77/x
  3. Step 3: Cross multiply
    431,158.58x = 595,012.33 × 247,430.77
  4. Step 4: Simplify right side
    431,158.58x = 147,224,357,793.15
  5. Step 5: Solve for x
    x = 147,224,357,793.15/431,158.58
  6. Step 6: Final answer
    x = 341,462.20

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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.