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Finding the Fourth Proportional to 461,084.58, 636,299.52 and 257,148.48

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Solution

The fourth proportional to 461,084.58, 636,299.52 and 257,148.48 is: 354,866.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,084.58 : 636,299.52 = 257,148.48 : x
  2. Step 2: Convert to fraction form
    461,084.58/636,299.52 = 257,148.48/x
  3. Step 3: Cross multiply
    461,084.58x = 636,299.52 × 257,148.48
  4. Step 4: Simplify right side
    461,084.58x = 163,623,454,392.73
  5. Step 5: Solve for x
    x = 163,623,454,392.73/461,084.58
  6. Step 6: Final answer
    x = 354,866.46

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1.5x scale

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.