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Finding the Fourth Proportional to 281,123.60, 421,879.80 and 202,294.40

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Solution

The fourth proportional to 281,123.60, 421,879.80 and 202,294.40 is: 303,581.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,123.60 : 421,879.80 = 202,294.40 : x
  2. Step 2: Convert to fraction form
    281,123.60/421,879.80 = 202,294.40/x
  3. Step 3: Cross multiply
    281,123.60x = 421,879.80 × 202,294.40
  4. Step 4: Simplify right side
    281,123.60x = 85,343,921,013.12
  5. Step 5: Solve for x
    x = 85,343,921,013.12/281,123.60
  6. Step 6: Final answer
    x = 303,581.49

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1.5x scale

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.