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Finding the Fourth Proportional to 402,231.72, 602,803.26 and 152,777.64

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Solution

The fourth proportional to 402,231.72, 602,803.26 and 152,777.64 is: 228,959.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,231.72 : 602,803.26 = 152,777.64 : x
  2. Step 2: Convert to fraction form
    402,231.72/602,803.26 = 152,777.64/x
  3. Step 3: Cross multiply
    402,231.72x = 602,803.26 × 152,777.64
  4. Step 4: Simplify right side
    402,231.72x = 92,094,859,447.11
  5. Step 5: Solve for x
    x = 92,094,859,447.11/402,231.72
  6. Step 6: Final answer
    x = 228,959.71

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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.