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Finding the Fourth Proportional to 282,497.60, 423,400.80 and 124,558.40

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Solution

The fourth proportional to 282,497.60, 423,400.80 and 124,558.40 is: 186,685.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,497.60 : 423,400.80 = 124,558.40 : x
  2. Step 2: Convert to fraction form
    282,497.60/423,400.80 = 124,558.40/x
  3. Step 3: Cross multiply
    282,497.60x = 423,400.80 × 124,558.40
  4. Step 4: Simplify right side
    282,497.60x = 52,738,126,206.72
  5. Step 5: Solve for x
    x = 52,738,126,206.72/282,497.60
  6. Step 6: Final answer
    x = 186,685.22

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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.