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Finding the Fourth Proportional to 405,443.65, 559,523.92 and 224,167.29

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Solution

The fourth proportional to 405,443.65, 559,523.92 and 224,167.29 is: 309,357.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,443.65 : 559,523.92 = 224,167.29 : x
  2. Step 2: Convert to fraction form
    405,443.65/559,523.92 = 224,167.29/x
  3. Step 3: Cross multiply
    405,443.65x = 559,523.92 × 224,167.29
  4. Step 4: Simplify right side
    405,443.65x = 125,426,960,836.58
  5. Step 5: Solve for x
    x = 125,426,960,836.58/405,443.65
  6. Step 6: Final answer
    x = 309,357.32

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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.