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Finding the Fourth Proportional to 282,648.80, 423,317.10 and 193,419.20

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Solution

The fourth proportional to 282,648.80, 423,317.10 and 193,419.20 is: 289,679.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,648.80 : 423,317.10 = 193,419.20 : x
  2. Step 2: Convert to fraction form
    282,648.80/423,317.10 = 193,419.20/x
  3. Step 3: Cross multiply
    282,648.80x = 423,317.10 × 193,419.20
  4. Step 4: Simplify right side
    282,648.80x = 81,877,654,828.32
  5. Step 5: Solve for x
    x = 81,877,654,828.32/282,648.80
  6. Step 6: Final answer
    x = 289,679.82

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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.