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Finding the Fourth Proportional to 447,160.84, 616,878.40 and 265,769.69

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Solution

The fourth proportional to 447,160.84, 616,878.40 and 265,769.69 is: 366,641.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,160.84 : 616,878.40 = 265,769.69 : x
  2. Step 2: Convert to fraction form
    447,160.84/616,878.40 = 265,769.69/x
  3. Step 3: Cross multiply
    447,160.84x = 616,878.40 × 265,769.69
  4. Step 4: Simplify right side
    447,160.84x = 163,947,581,135.70
  5. Step 5: Solve for x
    x = 163,947,581,135.70/447,160.84
  6. Step 6: Final answer
    x = 366,641.19

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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.