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Finding the Fourth Proportional to 456,853.80, 685,307.60 and 176,372.52

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Solution

The fourth proportional to 456,853.80, 685,307.60 and 176,372.52 is: 264,569.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,853.80 : 685,307.60 = 176,372.52 : x
  2. Step 2: Convert to fraction form
    456,853.80/685,307.60 = 176,372.52/x
  3. Step 3: Cross multiply
    456,853.80x = 685,307.60 × 176,372.52
  4. Step 4: Simplify right side
    456,853.80x = 120,869,428,387.15
  5. Step 5: Solve for x
    x = 120,869,428,387.15/456,853.80
  6. Step 6: Final answer
    x = 264,569.16

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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.