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Finding the Fourth Proportional to 511,510.11, 705,867.77 and 282,077.08

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Solution

The fourth proportional to 511,510.11, 705,867.77 and 282,077.08 is: 389,257.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,510.11 : 705,867.77 = 282,077.08 : x
  2. Step 2: Convert to fraction form
    511,510.11/705,867.77 = 282,077.08/x
  3. Step 3: Cross multiply
    511,510.11x = 705,867.77 × 282,077.08
  4. Step 4: Simplify right side
    511,510.11x = 199,109,120,752.06
  5. Step 5: Solve for x
    x = 199,109,120,752.06/511,510.11
  6. Step 6: Final answer
    x = 389,257.45

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1.5x scale

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.