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Finding the Fourth Proportional to 547,780.60, 823,053.30 and 348,196.60

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Solution

The fourth proportional to 547,780.60, 823,053.30 and 348,196.60 is: 523,173.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    547,780.60 : 823,053.30 = 348,196.60 : x
  2. Step 2: Convert to fraction form
    547,780.60/823,053.30 = 348,196.60/x
  3. Step 3: Cross multiply
    547,780.60x = 823,053.30 × 348,196.60
  4. Step 4: Simplify right side
    547,780.60x = 286,584,360,678.78
  5. Step 5: Solve for x
    x = 286,584,360,678.78/547,780.60
  6. Step 6: Final answer
    x = 523,173.62

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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.