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Finding the Fourth Proportional to 551,698.66, 826,959.93 and 314,530.66

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Solution

The fourth proportional to 551,698.66, 826,959.93 and 314,530.66 is: 471,460.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    551,698.66 : 826,959.93 = 314,530.66 : x
  2. Step 2: Convert to fraction form
    551,698.66/826,959.93 = 314,530.66/x
  3. Step 3: Cross multiply
    551,698.66x = 826,959.93 × 314,530.66
  4. Step 4: Simplify right side
    551,698.66x = 260,104,252,576.45
  5. Step 5: Solve for x
    x = 260,104,252,576.45/551,698.66
  6. Step 6: Final answer
    x = 471,460.73

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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.