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Finding the Fourth Proportional to 292,697.60, 438,216.24 and 191,613.54

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Solution

The fourth proportional to 292,697.60, 438,216.24 and 191,613.54 is: 286,876.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,697.60 : 438,216.24 = 191,613.54 : x
  2. Step 2: Convert to fraction form
    292,697.60/438,216.24 = 191,613.54/x
  3. Step 3: Cross multiply
    292,697.60x = 438,216.24 × 191,613.54
  4. Step 4: Simplify right side
    292,697.60x = 83,968,165,031.89
  5. Step 5: Solve for x
    x = 83,968,165,031.89/292,697.60
  6. Step 6: Final answer
    x = 286,876.85

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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.