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Finding the Fourth Proportional to 406,065.52, 560,371.70 and 219,796.96

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Solution

The fourth proportional to 406,065.52, 560,371.70 and 219,796.96 is: 303,320.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,065.52 : 560,371.70 = 219,796.96 : x
  2. Step 2: Convert to fraction form
    406,065.52/560,371.70 = 219,796.96/x
  3. Step 3: Cross multiply
    406,065.52x = 560,371.70 × 219,796.96
  4. Step 4: Simplify right side
    406,065.52x = 123,167,996,130.03
  5. Step 5: Solve for x
    x = 123,167,996,130.03/406,065.52
  6. Step 6: Final answer
    x = 303,320.50

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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.