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Finding the Fourth Proportional to 551,507.30, 827,162.40 and 146,701.70

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Solution

The fourth proportional to 551,507.30, 827,162.40 and 146,701.70 is: 220,026.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    551,507.30 : 827,162.40 = 146,701.70 : x
  2. Step 2: Convert to fraction form
    551,507.30/827,162.40 = 146,701.70/x
  3. Step 3: Cross multiply
    551,507.30x = 827,162.40 × 146,701.70
  4. Step 4: Simplify right side
    551,507.30x = 121,346,130,256.08
  5. Step 5: Solve for x
    x = 121,346,130,256.08/551,507.30
  6. Step 6: Final answer
    x = 220,026.34

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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.