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Finding the Fourth Proportional to 411,780.67, 616,866.57 and 283,674.35

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Solution

The fourth proportional to 411,780.67, 616,866.57 and 283,674.35 is: 424,957.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,780.67 : 616,866.57 = 283,674.35 : x
  2. Step 2: Convert to fraction form
    411,780.67/616,866.57 = 283,674.35/x
  3. Step 3: Cross multiply
    411,780.67x = 616,866.57 × 283,674.35
  4. Step 4: Simplify right side
    411,780.67x = 174,989,224,823.65
  5. Step 5: Solve for x
    x = 174,989,224,823.65/411,780.67
  6. Step 6: Final answer
    x = 424,957.36

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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.