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Finding the Fourth Proportional to 289,253.58, 433,125.78 and 232,785.24

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Solution

The fourth proportional to 289,253.58, 433,125.78 and 232,785.24 is: 348,570.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,253.58 : 433,125.78 = 232,785.24 : x
  2. Step 2: Convert to fraction form
    289,253.58/433,125.78 = 232,785.24/x
  3. Step 3: Cross multiply
    289,253.58x = 433,125.78 × 232,785.24
  4. Step 4: Simplify right side
    289,253.58x = 100,825,288,647.49
  5. Step 5: Solve for x
    x = 100,825,288,647.49/289,253.58
  6. Step 6: Final answer
    x = 348,570.58

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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.