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Finding the Fourth Proportional to 285,598.10, 394,167.47 and 164,715.93

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Solution

The fourth proportional to 285,598.10, 394,167.47 and 164,715.93 is: 227,332.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,598.10 : 394,167.47 = 164,715.93 : x
  2. Step 2: Convert to fraction form
    285,598.10/394,167.47 = 164,715.93/x
  3. Step 3: Cross multiply
    285,598.10x = 394,167.47 × 164,715.93
  4. Step 4: Simplify right side
    285,598.10x = 64,925,660,573.22
  5. Step 5: Solve for x
    x = 64,925,660,573.22/285,598.10
  6. Step 6: Final answer
    x = 227,332.25

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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.