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Finding the Fourth Proportional to 282,420.50, 389,642.84 and 180,505.62

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Solution

The fourth proportional to 282,420.50, 389,642.84 and 180,505.62 is: 249,035.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,420.50 : 389,642.84 = 180,505.62 : x
  2. Step 2: Convert to fraction form
    282,420.50/389,642.84 = 180,505.62/x
  3. Step 3: Cross multiply
    282,420.50x = 389,642.84 × 180,505.62
  4. Step 4: Simplify right side
    282,420.50x = 70,332,722,412.76
  5. Step 5: Solve for x
    x = 70,332,722,412.76/282,420.50
  6. Step 6: Final answer
    x = 249,035.47

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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.