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Finding the Fourth Proportional to 652,106.80, 914,608.40 and 652,106.80

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Solution

The fourth proportional to 652,106.80, 914,608.40 and 652,106.80 is: 914,608.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,106.80 : 914,608.40 = 652,106.80 : x
  2. Step 2: Convert to fraction form
    652,106.80/914,608.40 = 652,106.80/x
  3. Step 3: Cross multiply
    652,106.80x = 914,608.40 × 652,106.80
  4. Step 4: Simplify right side
    652,106.80x = 596,422,356,977.12
  5. Step 5: Solve for x
    x = 596,422,356,977.12/652,106.80
  6. Step 6: Final answer
    x = 914,608.40

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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.