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Finding the Fourth Proportional to 282,964.79, 424,514.61 and 83,291.69

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Solution

The fourth proportional to 282,964.79, 424,514.61 and 83,291.69 is: 124,957.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,964.79 : 424,514.61 = 83,291.69 : x
  2. Step 2: Convert to fraction form
    282,964.79/424,514.61 = 83,291.69/x
  3. Step 3: Cross multiply
    282,964.79x = 424,514.61 × 83,291.69
  4. Step 4: Simplify right side
    282,964.79x = 35,358,537,174.02
  5. Step 5: Solve for x
    x = 35,358,537,174.02/282,964.79
  6. Step 6: Final answer
    x = 124,957.38

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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.