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Finding the Fourth Proportional to 461,374.02, 636,678.36 and 257,414.40

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Solution

The fourth proportional to 461,374.02, 636,678.36 and 257,414.40 is: 355,221.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,374.02 : 636,678.36 = 257,414.40 : x
  2. Step 2: Convert to fraction form
    461,374.02/636,678.36 = 257,414.40/x
  3. Step 3: Cross multiply
    461,374.02x = 636,678.36 × 257,414.40
  4. Step 4: Simplify right side
    461,374.02x = 163,890,178,032.38
  5. Step 5: Solve for x
    x = 163,890,178,032.38/461,374.02
  6. Step 6: Final answer
    x = 355,221.95

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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.