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Finding the Fourth Proportional to 284,272.56, 426,357.54 and 73,897.56

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Solution

The fourth proportional to 284,272.56, 426,357.54 and 73,897.56 is: 110,833.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,272.56 : 426,357.54 = 73,897.56 : x
  2. Step 2: Convert to fraction form
    284,272.56/426,357.54 = 73,897.56/x
  3. Step 3: Cross multiply
    284,272.56x = 426,357.54 × 73,897.56
  4. Step 4: Simplify right side
    284,272.56x = 31,506,781,893.60
  5. Step 5: Solve for x
    x = 31,506,781,893.60/284,272.56
  6. Step 6: Final answer
    x = 110,833.00

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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.