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Finding the Fourth Proportional to 424,646.26, 586,007.40 and 240,918.79

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Solution

The fourth proportional to 424,646.26, 586,007.40 and 240,918.79 is: 332,465.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,646.26 : 586,007.40 = 240,918.79 : x
  2. Step 2: Convert to fraction form
    424,646.26/586,007.40 = 240,918.79/x
  3. Step 3: Cross multiply
    424,646.26x = 586,007.40 × 240,918.79
  4. Step 4: Simplify right side
    424,646.26x = 141,180,193,739.05
  5. Step 5: Solve for x
    x = 141,180,193,739.05/424,646.26
  6. Step 6: Final answer
    x = 332,465.41

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.