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Finding the Fourth Proportional to 615,897.47, 923,879.01 and 195,206.15

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Solution

The fourth proportional to 615,897.47, 923,879.01 and 195,206.15 is: 292,819.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    615,897.47 : 923,879.01 = 195,206.15 : x
  2. Step 2: Convert to fraction form
    615,897.47/923,879.01 = 195,206.15/x
  3. Step 3: Cross multiply
    615,897.47x = 923,879.01 × 195,206.15
  4. Step 4: Simplify right side
    615,897.47x = 180,346,867,649.63
  5. Step 5: Solve for x
    x = 180,346,867,649.63/615,897.47
  6. Step 6: Final answer
    x = 292,819.63

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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.