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Finding the Fourth Proportional to 328,803.14, 453,748.32 and 177,900.14

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Solution

The fourth proportional to 328,803.14, 453,748.32 and 177,900.14 is: 245,502.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,803.14 : 453,748.32 = 177,900.14 : x
  2. Step 2: Convert to fraction form
    328,803.14/453,748.32 = 177,900.14/x
  3. Step 3: Cross multiply
    328,803.14x = 453,748.32 × 177,900.14
  4. Step 4: Simplify right side
    328,803.14x = 80,721,889,652.76
  5. Step 5: Solve for x
    x = 80,721,889,652.76/328,803.14
  6. Step 6: Final answer
    x = 245,502.19

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Why These Related Problems?

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