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Finding the Fourth Proportional to 467,722.60, 700,547.10 and 281,098.60

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Solution

The fourth proportional to 467,722.60, 700,547.10 and 281,098.60 is: 421,024.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,722.60 : 700,547.10 = 281,098.60 : x
  2. Step 2: Convert to fraction form
    467,722.60/700,547.10 = 281,098.60/x
  3. Step 3: Cross multiply
    467,722.60x = 700,547.10 × 281,098.60
  4. Step 4: Simplify right side
    467,722.60x = 196,922,809,044.06
  5. Step 5: Solve for x
    x = 196,922,809,044.06/467,722.60
  6. Step 6: Final answer
    x = 421,024.79

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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.