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Finding the Fourth Proportional to 596,952.93, 823,661.69 and 500,546.73

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Solution

The fourth proportional to 596,952.93, 823,661.69 and 500,546.73 is: 690,642.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    596,952.93 : 823,661.69 = 500,546.73 : x
  2. Step 2: Convert to fraction form
    596,952.93/823,661.69 = 500,546.73/x
  3. Step 3: Cross multiply
    596,952.93x = 823,661.69 × 500,546.73
  4. Step 4: Simplify right side
    596,952.93x = 412,281,163,053.04
  5. Step 5: Solve for x
    x = 412,281,163,053.04/596,952.93
  6. Step 6: Final answer
    x = 690,642.67

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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.