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Finding the Fourth Proportional to 516,959.82, 774,647.55 and 347,854.50

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Solution

The fourth proportional to 516,959.82, 774,647.55 and 347,854.50 is: 521,248.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,959.82 : 774,647.55 = 347,854.50 : x
  2. Step 2: Convert to fraction form
    516,959.82/774,647.55 = 347,854.50/x
  3. Step 3: Cross multiply
    516,959.82x = 774,647.55 × 347,854.50
  4. Step 4: Simplify right side
    516,959.82x = 269,464,636,181.48
  5. Step 5: Solve for x
    x = 269,464,636,181.48/516,959.82
  6. Step 6: Final answer
    x = 521,248.70

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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.