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Finding the Fourth Proportional to 612,082.60, 917,467.80 and 232,856.80

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Solution

The fourth proportional to 612,082.60, 917,467.80 and 232,856.80 is: 349,035.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    612,082.60 : 917,467.80 = 232,856.80 : x
  2. Step 2: Convert to fraction form
    612,082.60/917,467.80 = 232,856.80/x
  3. Step 3: Cross multiply
    612,082.60x = 917,467.80 × 232,856.80
  4. Step 4: Simplify right side
    612,082.60x = 213,638,616,011.04
  5. Step 5: Solve for x
    x = 213,638,616,011.04/612,082.60
  6. Step 6: Final answer
    x = 349,035.60

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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.