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Finding the Fourth Proportional to 516,560.50, 774,848.54 and 196,730.07

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Solution

The fourth proportional to 516,560.50, 774,848.54 and 196,730.07 is: 295,098.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,560.50 : 774,848.54 = 196,730.07 : x
  2. Step 2: Convert to fraction form
    516,560.50/774,848.54 = 196,730.07/x
  3. Step 3: Cross multiply
    516,560.50x = 774,848.54 × 196,730.07
  4. Step 4: Simplify right side
    516,560.50x = 152,436,010,911.11
  5. Step 5: Solve for x
    x = 152,436,010,911.11/516,560.50
  6. Step 6: Final answer
    x = 295,098.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.