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Finding the Fourth Proportional to 564,050.46, 777,949.74 and 349,309.74

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Solution

The fourth proportional to 564,050.46, 777,949.74 and 349,309.74 is: 481,775.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,050.46 : 777,949.74 = 349,309.74 : x
  2. Step 2: Convert to fraction form
    564,050.46/777,949.74 = 349,309.74/x
  3. Step 3: Cross multiply
    564,050.46x = 777,949.74 × 349,309.74
  4. Step 4: Simplify right side
    564,050.46x = 271,745,421,412.47
  5. Step 5: Solve for x
    x = 271,745,421,412.47/564,050.46
  6. Step 6: Final answer
    x = 481,775.02

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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.