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Finding the Fourth Proportional to 1,029,948.80, 1,544,923.20 and 319,971.20

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Solution

The fourth proportional to 1,029,948.80, 1,544,923.20 and 319,971.20 is: 479,956.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,029,948.80 : 1,544,923.20 = 319,971.20 : x
  2. Step 2: Convert to fraction form
    1,029,948.80/1,544,923.20 = 319,971.20/x
  3. Step 3: Cross multiply
    1,029,948.80x = 1,544,923.20 × 319,971.20
  4. Step 4: Simplify right side
    1,029,948.80x = 494,330,930,211.84
  5. Step 5: Solve for x
    x = 494,330,930,211.84/1,029,948.80
  6. Step 6: Final answer
    x = 479,956.80

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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.