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Finding the Fourth Proportional to 433,422, 598,148.88 and 242,448.24

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Solution

The fourth proportional to 433,422, 598,148.88 and 242,448.24 is: 334,593.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,422 : 598,148.88 = 242,448.24 : x
  2. Step 2: Convert to fraction form
    433,422/598,148.88 = 242,448.24/x
  3. Step 3: Cross multiply
    433,422x = 598,148.88 × 242,448.24
  4. Step 4: Simplify right side
    433,422x = 145,020,143,213.97
  5. Step 5: Solve for x
    x = 145,020,143,213.97/433,422
  6. Step 6: Final answer
    x = 334,593.41

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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.