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Finding the Fourth Proportional to 652,203.90, 978,305.85 and 463,247.10

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Solution

The fourth proportional to 652,203.90, 978,305.85 and 463,247.10 is: 694,870.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,203.90 : 978,305.85 = 463,247.10 : x
  2. Step 2: Convert to fraction form
    652,203.90/978,305.85 = 463,247.10/x
  3. Step 3: Cross multiply
    652,203.90x = 978,305.85 × 463,247.10
  4. Step 4: Simplify right side
    652,203.90x = 453,197,347,925.54
  5. Step 5: Solve for x
    x = 453,197,347,925.54/652,203.90
  6. Step 6: Final answer
    x = 694,870.65

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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.