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Finding the Fourth Proportional to 675,460.60, 1,013,045.10 and 296,380.60

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Solution

The fourth proportional to 675,460.60, 1,013,045.10 and 296,380.60 is: 444,506.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    675,460.60 : 1,013,045.10 = 296,380.60 : x
  2. Step 2: Convert to fraction form
    675,460.60/1,013,045.10 = 296,380.60/x
  3. Step 3: Cross multiply
    675,460.60x = 1,013,045.10 × 296,380.60
  4. Step 4: Simplify right side
    675,460.60x = 300,246,914,565.06
  5. Step 5: Solve for x
    x = 300,246,914,565.06/675,460.60
  6. Step 6: Final answer
    x = 444,506.93

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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.