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Finding the Fourth Proportional to 426,996, 589,253.94 and 233,404.92

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Solution

The fourth proportional to 426,996, 589,253.94 and 233,404.92 is: 322,098.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,996 : 589,253.94 = 233,404.92 : x
  2. Step 2: Convert to fraction form
    426,996/589,253.94 = 233,404.92/x
  3. Step 3: Cross multiply
    426,996x = 589,253.94 × 233,404.92
  4. Step 4: Simplify right side
    426,996x = 137,534,768,725.39
  5. Step 5: Solve for x
    x = 137,534,768,725.39/426,996
  6. Step 6: Final answer
    x = 322,098.49

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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.