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Finding the Fourth Proportional to 611,316.20, 916,196.70 and 295,092.20

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Solution

The fourth proportional to 611,316.20, 916,196.70 and 295,092.20 is: 442,262.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    611,316.20 : 916,196.70 = 295,092.20 : x
  2. Step 2: Convert to fraction form
    611,316.20/916,196.70 = 295,092.20/x
  3. Step 3: Cross multiply
    611,316.20x = 916,196.70 × 295,092.20
  4. Step 4: Simplify right side
    611,316.20x = 270,362,499,835.74
  5. Step 5: Solve for x
    x = 270,362,499,835.74/611,316.20
  6. Step 6: Final answer
    x = 442,262.94

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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.