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Finding the Fourth Proportional to 443,359.32, 611,832.06 and 242,151

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Solution

The fourth proportional to 443,359.32, 611,832.06 and 242,151 is: 334,166.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    443,359.32 : 611,832.06 = 242,151 : x
  2. Step 2: Convert to fraction form
    443,359.32/611,832.06 = 242,151/x
  3. Step 3: Cross multiply
    443,359.32x = 611,832.06 × 242,151
  4. Step 4: Simplify right side
    443,359.32x = 148,155,745,161.06
  5. Step 5: Solve for x
    x = 148,155,745,161.06/443,359.32
  6. Step 6: Final answer
    x = 334,166.30

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.