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Finding the Fourth Proportional to 282,458.34, 423,686.90 and 177,351.12

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Solution

The fourth proportional to 282,458.34, 423,686.90 and 177,351.12 is: 266,026.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,458.34 : 423,686.90 = 177,351.12 : x
  2. Step 2: Convert to fraction form
    282,458.34/423,686.90 = 177,351.12/x
  3. Step 3: Cross multiply
    282,458.34x = 423,686.90 × 177,351.12
  4. Step 4: Simplify right side
    282,458.34x = 75,141,346,244.33
  5. Step 5: Solve for x
    x = 75,141,346,244.33/282,458.34
  6. Step 6: Final answer
    x = 266,026.30

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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.