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Finding the Fourth Proportional to 516,560.99, 712,848.83 and 295,768.98

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Solution

The fourth proportional to 516,560.99, 712,848.83 and 295,768.98 is: 408,158.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,560.99 : 712,848.83 = 295,768.98 : x
  2. Step 2: Convert to fraction form
    516,560.99/712,848.83 = 295,768.98/x
  3. Step 3: Cross multiply
    516,560.99x = 712,848.83 × 295,768.98
  4. Step 4: Simplify right side
    516,560.99x = 210,838,569,864.45
  5. Step 5: Solve for x
    x = 210,838,569,864.45/516,560.99
  6. Step 6: Final answer
    x = 408,158.14

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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.