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Finding the Fourth Proportional to 652,158.70, 978,238.05 and 575,176.30

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Solution

The fourth proportional to 652,158.70, 978,238.05 and 575,176.30 is: 862,764.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,158.70 : 978,238.05 = 575,176.30 : x
  2. Step 2: Convert to fraction form
    652,158.70/978,238.05 = 575,176.30/x
  3. Step 3: Cross multiply
    652,158.70x = 978,238.05 × 575,176.30
  4. Step 4: Simplify right side
    652,158.70x = 562,659,342,118.22
  5. Step 5: Solve for x
    x = 562,659,342,118.22/652,158.70
  6. Step 6: Final answer
    x = 862,764.45

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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.