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Finding the Fourth Proportional to 338,364, 466,957.62 and 187,461

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Solution

The fourth proportional to 338,364, 466,957.62 and 187,461 is: 258,704.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,364 : 466,957.62 = 187,461 : x
  2. Step 2: Convert to fraction form
    338,364/466,957.62 = 187,461/x
  3. Step 3: Cross multiply
    338,364x = 466,957.62 × 187,461
  4. Step 4: Simplify right side
    338,364x = 87,536,342,402.82
  5. Step 5: Solve for x
    x = 87,536,342,402.82/338,364
  6. Step 6: Final answer
    x = 258,704.66

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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.