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Finding the Fourth Proportional to 652,201.80, 978,302.70 and 562,000.20

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Solution

The fourth proportional to 652,201.80, 978,302.70 and 562,000.20 is: 843,000.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,201.80 : 978,302.70 = 562,000.20 : x
  2. Step 2: Convert to fraction form
    652,201.80/978,302.70 = 562,000.20/x
  3. Step 3: Cross multiply
    652,201.80x = 978,302.70 × 562,000.20
  4. Step 4: Simplify right side
    652,201.80x = 549,806,313,060.54
  5. Step 5: Solve for x
    x = 549,806,313,060.54/652,201.80
  6. Step 6: Final answer
    x = 843,000.30

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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.