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Finding the Fourth Proportional to 492,730.74, 679,966.98 and 277,869.24

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Solution

The fourth proportional to 492,730.74, 679,966.98 and 277,869.24 is: 383,458.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,730.74 : 679,966.98 = 277,869.24 : x
  2. Step 2: Convert to fraction form
    492,730.74/679,966.98 = 277,869.24/x
  3. Step 3: Cross multiply
    492,730.74x = 679,966.98 × 277,869.24
  4. Step 4: Simplify right side
    492,730.74x = 188,941,907,957.70
  5. Step 5: Solve for x
    x = 188,941,907,957.70/492,730.74
  6. Step 6: Final answer
    x = 383,458.74

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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.