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Finding the Fourth Proportional to 431,064.42, 594,868.86 and 240,077.76

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Solution

The fourth proportional to 431,064.42, 594,868.86 and 240,077.76 is: 331,307.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,064.42 : 594,868.86 = 240,077.76 : x
  2. Step 2: Convert to fraction form
    431,064.42/594,868.86 = 240,077.76/x
  3. Step 3: Cross multiply
    431,064.42x = 594,868.86 × 240,077.76
  4. Step 4: Simplify right side
    431,064.42x = 142,814,783,402.55
  5. Step 5: Solve for x
    x = 142,814,783,402.55/431,064.42
  6. Step 6: Final answer
    x = 331,307.29

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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.