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Finding the Fourth Proportional to 295,306.71, 407,553.88 and 180,661.73

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Solution

The fourth proportional to 295,306.71, 407,553.88 and 180,661.73 is: 249,331.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,306.71 : 407,553.88 = 180,661.73 : x
  2. Step 2: Convert to fraction form
    295,306.71/407,553.88 = 180,661.73/x
  3. Step 3: Cross multiply
    295,306.71x = 407,553.88 × 180,661.73
  4. Step 4: Simplify right side
    295,306.71x = 73,629,386,878.33
  5. Step 5: Solve for x
    x = 73,629,386,878.33/295,306.71
  6. Step 6: Final answer
    x = 249,331.91

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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.