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Finding the Fourth Proportional to 292,970.90, 438,253.22 and 233,921.90

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Solution

The fourth proportional to 292,970.90, 438,253.22 and 233,921.90 is: 349,922.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,970.90 : 438,253.22 = 233,921.90 : x
  2. Step 2: Convert to fraction form
    292,970.90/438,253.22 = 233,921.90/x
  3. Step 3: Cross multiply
    292,970.90x = 438,253.22 × 233,921.90
  4. Step 4: Simplify right side
    292,970.90x = 102,517,025,903.52
  5. Step 5: Solve for x
    x = 102,517,025,903.52/292,970.90
  6. Step 6: Final answer
    x = 349,922.21

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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.