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Finding the Fourth Proportional to 702,775.21, 1,053,098.47 and 465,267.01

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Solution

The fourth proportional to 702,775.21, 1,053,098.47 and 465,267.01 is: 697,195.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,775.21 : 1,053,098.47 = 465,267.01 : x
  2. Step 2: Convert to fraction form
    702,775.21/1,053,098.47 = 465,267.01/x
  3. Step 3: Cross multiply
    702,775.21x = 1,053,098.47 × 465,267.01
  4. Step 4: Simplify right side
    702,775.21x = 489,971,976,372.48
  5. Step 5: Solve for x
    x = 489,971,976,372.48/702,775.21
  6. Step 6: Final answer
    x = 697,195.87

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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.