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Finding the Fourth Proportional to 282,585.84, 423,861.59 and 100,225.68

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Solution

The fourth proportional to 282,585.84, 423,861.59 and 100,225.68 is: 150,332.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,585.84 : 423,861.59 = 100,225.68 : x
  2. Step 2: Convert to fraction form
    282,585.84/423,861.59 = 100,225.68/x
  3. Step 3: Cross multiply
    282,585.84x = 423,861.59 × 100,225.68
  4. Step 4: Simplify right side
    282,585.84x = 42,481,816,083.63
  5. Step 5: Solve for x
    x = 42,481,816,083.63/282,585.84
  6. Step 6: Final answer
    x = 150,332.43

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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.