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Finding the Fourth Proportional to 538,015.62, 807,020.19 and 164,038.62

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Solution

The fourth proportional to 538,015.62, 807,020.19 and 164,038.62 is: 246,056.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,015.62 : 807,020.19 = 164,038.62 : x
  2. Step 2: Convert to fraction form
    538,015.62/807,020.19 = 164,038.62/x
  3. Step 3: Cross multiply
    538,015.62x = 807,020.19 × 164,038.62
  4. Step 4: Simplify right side
    538,015.62x = 132,382,478,279.74
  5. Step 5: Solve for x
    x = 132,382,478,279.74/538,015.62
  6. Step 6: Final answer
    x = 246,056.94

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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.