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Finding the Fourth Proportional to 282,776.52, 424,359.20 and 105,425.40

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Solution

The fourth proportional to 282,776.52, 424,359.20 and 105,425.40 is: 158,210.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,776.52 : 424,359.20 = 105,425.40 : x
  2. Step 2: Convert to fraction form
    282,776.52/424,359.20 = 105,425.40/x
  3. Step 3: Cross multiply
    282,776.52x = 424,359.20 × 105,425.40
  4. Step 4: Simplify right side
    282,776.52x = 44,738,238,403.68
  5. Step 5: Solve for x
    x = 44,738,238,403.68/282,776.52
  6. Step 6: Final answer
    x = 158,210.58

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.