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Finding the Fourth Proportional to 561,146.08, 774,370.38 and 319,423.46

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Solution

The fourth proportional to 561,146.08, 774,370.38 and 319,423.46 is: 440,797.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,146.08 : 774,370.38 = 319,423.46 : x
  2. Step 2: Convert to fraction form
    561,146.08/774,370.38 = 319,423.46/x
  3. Step 3: Cross multiply
    561,146.08x = 774,370.38 × 319,423.46
  4. Step 4: Simplify right side
    561,146.08x = 247,352,066,101.12
  5. Step 5: Solve for x
    x = 247,352,066,101.12/561,146.08
  6. Step 6: Final answer
    x = 440,797.99

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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.