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Finding the Fourth Proportional to 577,305.31, 865,875.40 and 198,218.95

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Solution

The fourth proportional to 577,305.31, 865,875.40 and 198,218.95 is: 297,300.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    577,305.31 : 865,875.40 = 198,218.95 : x
  2. Step 2: Convert to fraction form
    577,305.31/865,875.40 = 198,218.95/x
  3. Step 3: Cross multiply
    577,305.31x = 865,875.40 × 198,218.95
  4. Step 4: Simplify right side
    577,305.31x = 171,632,912,618.83
  5. Step 5: Solve for x
    x = 171,632,912,618.83/577,305.31
  6. Step 6: Final answer
    x = 297,300.08

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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.