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Finding the Fourth Proportional to 292,287.96, 438,342.84 and 151,970.04

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Solution

The fourth proportional to 292,287.96, 438,342.84 and 151,970.04 is: 227,908.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,287.96 : 438,342.84 = 151,970.04 : x
  2. Step 2: Convert to fraction form
    292,287.96/438,342.84 = 151,970.04/x
  3. Step 3: Cross multiply
    292,287.96x = 438,342.84 × 151,970.04
  4. Step 4: Simplify right side
    292,287.96x = 66,614,978,928.51
  5. Step 5: Solve for x
    x = 66,614,978,928.51/292,287.96
  6. Step 6: Final answer
    x = 227,908.73

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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.