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Finding the Fourth Proportional to 264,952.84, 365,728.80 and 157,522.32

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Solution

The fourth proportional to 264,952.84, 365,728.80 and 157,522.32 is: 217,436.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,952.84 : 365,728.80 = 157,522.32 : x
  2. Step 2: Convert to fraction form
    264,952.84/365,728.80 = 157,522.32/x
  3. Step 3: Cross multiply
    264,952.84x = 365,728.80 × 157,522.32
  4. Step 4: Simplify right side
    264,952.84x = 57,610,449,066.82
  5. Step 5: Solve for x
    x = 57,610,449,066.82/264,952.84
  6. Step 6: Final answer
    x = 217,436.62

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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.