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Finding the Fourth Proportional to 292,213.60, 438,320.40 and 233,164.60

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Solution

The fourth proportional to 292,213.60, 438,320.40 and 233,164.60 is: 349,746.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,213.60 : 438,320.40 = 233,164.60 : x
  2. Step 2: Convert to fraction form
    292,213.60/438,320.40 = 233,164.60/x
  3. Step 3: Cross multiply
    292,213.60x = 438,320.40 × 233,164.60
  4. Step 4: Simplify right side
    292,213.60x = 102,200,800,737.84
  5. Step 5: Solve for x
    x = 102,200,800,737.84/292,213.60
  6. Step 6: Final answer
    x = 349,746.90

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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.