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Finding the Fourth Proportional to 433,390.84, 598,046.87 and 242,367.32

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Solution

The fourth proportional to 433,390.84, 598,046.87 and 242,367.32 is: 334,448.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,390.84 : 598,046.87 = 242,367.32 : x
  2. Step 2: Convert to fraction form
    433,390.84/598,046.87 = 242,367.32/x
  3. Step 3: Cross multiply
    433,390.84x = 598,046.87 × 242,367.32
  4. Step 4: Simplify right side
    433,390.84x = 144,947,019,217.32
  5. Step 5: Solve for x
    x = 144,947,019,217.32/433,390.84
  6. Step 6: Final answer
    x = 334,448.74

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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.