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Finding the Fourth Proportional to 456,852.80, 685,306.10 and 176,371.52

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Solution

The fourth proportional to 456,852.80, 685,306.10 and 176,371.52 is: 264,567.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,852.80 : 685,306.10 = 176,371.52 : x
  2. Step 2: Convert to fraction form
    456,852.80/685,306.10 = 176,371.52/x
  3. Step 3: Cross multiply
    456,852.80x = 685,306.10 × 176,371.52
  4. Step 4: Simplify right side
    456,852.80x = 120,868,478,522.27
  5. Step 5: Solve for x
    x = 120,868,478,522.27/456,852.80
  6. Step 6: Final answer
    x = 264,567.66

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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.