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Finding the Fourth Proportional to 328,948.08, 453,948.36 and 178,045.20

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Solution

The fourth proportional to 328,948.08, 453,948.36 and 178,045.20 is: 245,702.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,948.08 : 453,948.36 = 178,045.20 : x
  2. Step 2: Convert to fraction form
    328,948.08/453,948.36 = 178,045.20/x
  3. Step 3: Cross multiply
    328,948.08x = 453,948.36 × 178,045.20
  4. Step 4: Simplify right side
    328,948.08x = 80,823,326,545.87
  5. Step 5: Solve for x
    x = 80,823,326,545.87/328,948.08
  6. Step 6: Final answer
    x = 245,702.38

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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.