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Finding the Fourth Proportional to 528,642.84, 729,538 and 299,200.12

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Solution

The fourth proportional to 528,642.84, 729,538 and 299,200.12 is: 412,902.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    528,642.84 : 729,538 = 299,200.12 : x
  2. Step 2: Convert to fraction form
    528,642.84/729,538 = 299,200.12/x
  3. Step 3: Cross multiply
    528,642.84x = 729,538 × 299,200.12
  4. Step 4: Simplify right side
    528,642.84x = 218,277,857,144.56
  5. Step 5: Solve for x
    x = 218,277,857,144.56/528,642.84
  6. Step 6: Final answer
    x = 412,902.32

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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.