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Finding the Fourth Proportional to 511,785.72, 706,265.52 and 285,445.80

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Solution

The fourth proportional to 511,785.72, 706,265.52 and 285,445.80 is: 393,915.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,785.72 : 706,265.52 = 285,445.80 : x
  2. Step 2: Convert to fraction form
    511,785.72/706,265.52 = 285,445.80/x
  3. Step 3: Cross multiply
    511,785.72x = 706,265.52 × 285,445.80
  4. Step 4: Simplify right side
    511,785.72x = 201,600,526,368.82
  5. Step 5: Solve for x
    x = 201,600,526,368.82/511,785.72
  6. Step 6: Final answer
    x = 393,915.89

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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.