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Finding the Fourth Proportional to 652,145.80, 914,663 and 652,145.80

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Solution

The fourth proportional to 652,145.80, 914,663 and 652,145.80 is: 914,663

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,145.80 : 914,663 = 652,145.80 : x
  2. Step 2: Convert to fraction form
    652,145.80/914,663 = 652,145.80/x
  3. Step 3: Cross multiply
    652,145.80x = 914,663 × 652,145.80
  4. Step 4: Simplify right side
    652,145.80x = 596,493,633,865.40
  5. Step 5: Solve for x
    x = 596,493,633,865.40/652,145.80
  6. Step 6: Final answer
    x = 914,663

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.