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Finding the Fourth Proportional to 282,433.76, 389,645.89 and 180,432.77

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Solution

The fourth proportional to 282,433.76, 389,645.89 and 180,432.77 is: 248,925.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,433.76 : 389,645.89 = 180,432.77 : x
  2. Step 2: Convert to fraction form
    282,433.76/389,645.89 = 180,432.77/x
  3. Step 3: Cross multiply
    282,433.76x = 389,645.89 × 180,432.77
  4. Step 4: Simplify right side
    282,433.76x = 70,304,885,867.44
  5. Step 5: Solve for x
    x = 70,304,885,867.44/282,433.76
  6. Step 6: Final answer
    x = 248,925.22

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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.