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Finding the Fourth Proportional to 652,538.80, 978,808.20 and 589,553.20

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Solution

The fourth proportional to 652,538.80, 978,808.20 and 589,553.20 is: 884,329.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,538.80 : 978,808.20 = 589,553.20 : x
  2. Step 2: Convert to fraction form
    652,538.80/978,808.20 = 589,553.20/x
  3. Step 3: Cross multiply
    652,538.80x = 978,808.20 × 589,553.20
  4. Step 4: Simplify right side
    652,538.80x = 577,059,506,496.24
  5. Step 5: Solve for x
    x = 577,059,506,496.24/652,538.80
  6. Step 6: Final answer
    x = 884,329.80

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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.