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Finding the Fourth Proportional to 282,483.84, 423,725.76 and 72,114.24

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Solution

The fourth proportional to 282,483.84, 423,725.76 and 72,114.24 is: 108,171.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,483.84 : 423,725.76 = 72,114.24 : x
  2. Step 2: Convert to fraction form
    282,483.84/423,725.76 = 72,114.24/x
  3. Step 3: Cross multiply
    282,483.84x = 423,725.76 × 72,114.24
  4. Step 4: Simplify right side
    282,483.84x = 30,556,661,150.82
  5. Step 5: Solve for x
    x = 30,556,661,150.82/282,483.84
  6. Step 6: Final answer
    x = 108,171.36

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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.