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Finding the Fourth Proportional to 333,218.16, 459,654.12 and 204,219.12

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Solution

The fourth proportional to 333,218.16, 459,654.12 and 204,219.12 is: 281,707.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,218.16 : 459,654.12 = 204,219.12 : x
  2. Step 2: Convert to fraction form
    333,218.16/459,654.12 = 204,219.12/x
  3. Step 3: Cross multiply
    333,218.16x = 459,654.12 × 204,219.12
  4. Step 4: Simplify right side
    333,218.16x = 93,870,159,890.77
  5. Step 5: Solve for x
    x = 93,870,159,890.77/333,218.16
  6. Step 6: Final answer
    x = 281,707.82

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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.