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Finding the Fourth Proportional to 285,777.72, 428,683.37 and 96,222.24

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Solution

The fourth proportional to 285,777.72, 428,683.37 and 96,222.24 is: 144,339.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,777.72 : 428,683.37 = 96,222.24 : x
  2. Step 2: Convert to fraction form
    285,777.72/428,683.37 = 96,222.24/x
  3. Step 3: Cross multiply
    285,777.72x = 428,683.37 × 96,222.24
  4. Step 4: Simplify right side
    285,777.72x = 41,248,873,631.04
  5. Step 5: Solve for x
    x = 41,248,873,631.04/285,777.72
  6. Step 6: Final answer
    x = 144,339.01

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.