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Finding the Fourth Proportional to 322,500.42, 483,751.70 and 97,862.72

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Solution

The fourth proportional to 322,500.42, 483,751.70 and 97,862.72 is: 146,794.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,500.42 : 483,751.70 = 97,862.72 : x
  2. Step 2: Convert to fraction form
    322,500.42/483,751.70 = 97,862.72/x
  3. Step 3: Cross multiply
    322,500.42x = 483,751.70 × 97,862.72
  4. Step 4: Simplify right side
    322,500.42x = 47,341,254,258.55
  5. Step 5: Solve for x
    x = 47,341,254,258.55/322,500.42
  6. Step 6: Final answer
    x = 146,794.40

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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.