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Finding the Fourth Proportional to 551,435.10, 827,152.65 and 314,801.70

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Solution

The fourth proportional to 551,435.10, 827,152.65 and 314,801.70 is: 472,202.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    551,435.10 : 827,152.65 = 314,801.70 : x
  2. Step 2: Convert to fraction form
    551,435.10/827,152.65 = 314,801.70/x
  3. Step 3: Cross multiply
    551,435.10x = 827,152.65 × 314,801.70
  4. Step 4: Simplify right side
    551,435.10x = 260,389,060,379.51
  5. Step 5: Solve for x
    x = 260,389,060,379.51/551,435.10
  6. Step 6: Final answer
    x = 472,202.55

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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.