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Finding the Fourth Proportional to 282,755.04, 424,145.52 and 200,018.40

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Solution

The fourth proportional to 282,755.04, 424,145.52 and 200,018.40 is: 300,036.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,755.04 : 424,145.52 = 200,018.40 : x
  2. Step 2: Convert to fraction form
    282,755.04/424,145.52 = 200,018.40/x
  3. Step 3: Cross multiply
    282,755.04x = 424,145.52 × 200,018.40
  4. Step 4: Simplify right side
    282,755.04x = 84,836,908,277.57
  5. Step 5: Solve for x
    x = 84,836,908,277.57/282,755.04
  6. Step 6: Final answer
    x = 300,036.77

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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.