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Finding the Fourth Proportional to 511,512.11, 705,870.53 and 282,079.08

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Solution

The fourth proportional to 511,512.11, 705,870.53 and 282,079.08 is: 389,260.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,512.11 : 705,870.53 = 282,079.08 : x
  2. Step 2: Convert to fraction form
    511,512.11/705,870.53 = 282,079.08/x
  3. Step 3: Cross multiply
    511,512.11x = 705,870.53 × 282,079.08
  4. Step 4: Simplify right side
    511,512.11x = 199,111,309,701.51
  5. Step 5: Solve for x
    x = 199,111,309,701.51/511,512.11
  6. Step 6: Final answer
    x = 389,260.21

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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.