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Finding the Fourth Proportional to 296,257.80, 444,386.70 and 130,045.80

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Solution

The fourth proportional to 296,257.80, 444,386.70 and 130,045.80 is: 195,068.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,257.80 : 444,386.70 = 130,045.80 : x
  2. Step 2: Convert to fraction form
    296,257.80/444,386.70 = 130,045.80/x
  3. Step 3: Cross multiply
    296,257.80x = 444,386.70 × 130,045.80
  4. Step 4: Simplify right side
    296,257.80x = 57,790,623,910.86
  5. Step 5: Solve for x
    x = 57,790,623,910.86/296,257.80
  6. Step 6: Final answer
    x = 195,068.70

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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.