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Finding the Fourth Proportional to 512,145.08, 706,760.35 and 282,702.51

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Solution

The fourth proportional to 512,145.08, 706,760.35 and 282,702.51 is: 390,129.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,145.08 : 706,760.35 = 282,702.51 : x
  2. Step 2: Convert to fraction form
    512,145.08/706,760.35 = 282,702.51/x
  3. Step 3: Cross multiply
    512,145.08x = 706,760.35 × 282,702.51
  4. Step 4: Simplify right side
    512,145.08x = 199,802,924,206.73
  5. Step 5: Solve for x
    x = 199,802,924,206.73/512,145.08
  6. Step 6: Final answer
    x = 390,129.54

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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.