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Finding the Fourth Proportional to 415,252.34, 573,010.62 and 233,993.78

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Solution

The fourth proportional to 415,252.34, 573,010.62 and 233,993.78 is: 322,890.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,252.34 : 573,010.62 = 233,993.78 : x
  2. Step 2: Convert to fraction form
    415,252.34/573,010.62 = 233,993.78/x
  3. Step 3: Cross multiply
    415,252.34x = 573,010.62 × 233,993.78
  4. Step 4: Simplify right side
    415,252.34x = 134,080,920,953.94
  5. Step 5: Solve for x
    x = 134,080,920,953.94/415,252.34
  6. Step 6: Final answer
    x = 322,890.22

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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.