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Finding the Fourth Proportional to 328,294.09, 453,256.70 and 205,954.20

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Solution

The fourth proportional to 328,294.09, 453,256.70 and 205,954.20 is: 284,349.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,294.09 : 453,256.70 = 205,954.20 : x
  2. Step 2: Convert to fraction form
    328,294.09/453,256.70 = 205,954.20/x
  3. Step 3: Cross multiply
    328,294.09x = 453,256.70 × 205,954.20
  4. Step 4: Simplify right side
    328,294.09x = 93,350,120,013.37
  5. Step 5: Solve for x
    x = 93,350,120,013.37/328,294.09
  6. Step 6: Final answer
    x = 284,349.07

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1.5x scale

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.