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Finding the Fourth Proportional to 295,578.80, 407,752.59 and 174,661.58

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Solution

The fourth proportional to 295,578.80, 407,752.59 and 174,661.58 is: 240,946.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,578.80 : 407,752.59 = 174,661.58 : x
  2. Step 2: Convert to fraction form
    295,578.80/407,752.59 = 174,661.58/x
  3. Step 3: Cross multiply
    295,578.80x = 407,752.59 × 174,661.58
  4. Step 4: Simplify right side
    295,578.80x = 71,218,711,618.49
  5. Step 5: Solve for x
    x = 71,218,711,618.49/295,578.80
  6. Step 6: Final answer
    x = 240,946.62

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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.