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Finding the Fourth Proportional to 511,734.01, 706,160.96 and 282,293.95

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Solution

The fourth proportional to 511,734.01, 706,160.96 and 282,293.95 is: 389,548.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,734.01 : 706,160.96 = 282,293.95 : x
  2. Step 2: Convert to fraction form
    511,734.01/706,160.96 = 282,293.95/x
  3. Step 3: Cross multiply
    511,734.01x = 706,160.96 × 282,293.95
  4. Step 4: Simplify right side
    511,734.01x = 199,344,963,909.12
  5. Step 5: Solve for x
    x = 199,344,963,909.12/511,734.01
  6. Step 6: Final answer
    x = 389,548.01

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.