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Finding the Fourth Proportional to 296,290.76, 444,482.28 and 96,564.80

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Solution

The fourth proportional to 296,290.76, 444,482.28 and 96,564.80 is: 144,862.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,290.76 : 444,482.28 = 96,564.80 : x
  2. Step 2: Convert to fraction form
    296,290.76/444,482.28 = 96,564.80/x
  3. Step 3: Cross multiply
    296,290.76x = 444,482.28 × 96,564.80
  4. Step 4: Simplify right side
    296,290.76x = 42,921,342,471.74
  5. Step 5: Solve for x
    x = 42,921,342,471.74/296,290.76
  6. Step 6: Final answer
    x = 144,862.24

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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.