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Finding the Fourth Proportional to 551,659.89, 827,488.62 and 146,852.19

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Solution

The fourth proportional to 551,659.89, 827,488.62 and 146,852.19 is: 220,277.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    551,659.89 : 827,488.62 = 146,852.19 : x
  2. Step 2: Convert to fraction form
    551,659.89/827,488.62 = 146,852.19/x
  3. Step 3: Cross multiply
    551,659.89x = 827,488.62 × 146,852.19
  4. Step 4: Simplify right side
    551,659.89x = 121,518,516,047.08
  5. Step 5: Solve for x
    x = 121,518,516,047.08/551,659.89
  6. Step 6: Final answer
    x = 220,277.96

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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.