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Finding the Fourth Proportional to 410,892.69, 567,029.14 and 229,605.07

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Solution

The fourth proportional to 410,892.69, 567,029.14 and 229,605.07 is: 316,853.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,892.69 : 567,029.14 = 229,605.07 : x
  2. Step 2: Convert to fraction form
    410,892.69/567,029.14 = 229,605.07/x
  3. Step 3: Cross multiply
    410,892.69x = 567,029.14 × 229,605.07
  4. Step 4: Simplify right side
    410,892.69x = 130,192,765,381.74
  5. Step 5: Solve for x
    x = 130,192,765,381.74/410,892.69
  6. Step 6: Final answer
    x = 316,853.45

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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.