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Finding the Fourth Proportional to 599,310, 827,047.80 and 344,655.72

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Solution

The fourth proportional to 599,310, 827,047.80 and 344,655.72 is: 475,624.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    599,310 : 827,047.80 = 344,655.72 : x
  2. Step 2: Convert to fraction form
    599,310/827,047.80 = 344,655.72/x
  3. Step 3: Cross multiply
    599,310x = 827,047.80 × 344,655.72
  4. Step 4: Simplify right side
    599,310x = 285,046,754,983.42
  5. Step 5: Solve for x
    x = 285,046,754,983.42/599,310
  6. Step 6: Final answer
    x = 475,624.89

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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.