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Finding the Fourth Proportional to 472,215.42, 651,638.30 and 257,350.87

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Solution

The fourth proportional to 472,215.42, 651,638.30 and 257,350.87 is: 355,133.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,215.42 : 651,638.30 = 257,350.87 : x
  2. Step 2: Convert to fraction form
    472,215.42/651,638.30 = 257,350.87/x
  3. Step 3: Cross multiply
    472,215.42x = 651,638.30 × 257,350.87
  4. Step 4: Simplify right side
    472,215.42x = 167,699,680,172.13
  5. Step 5: Solve for x
    x = 167,699,680,172.13/472,215.42
  6. Step 6: Final answer
    x = 355,133.85

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.