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Finding the Fourth Proportional to 306,492.98, 422,952.24 and 170,527.16

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Solution

The fourth proportional to 306,492.98, 422,952.24 and 170,527.16 is: 235,322.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,492.98 : 422,952.24 = 170,527.16 : x
  2. Step 2: Convert to fraction form
    306,492.98/422,952.24 = 170,527.16/x
  3. Step 3: Cross multiply
    306,492.98x = 422,952.24 × 170,527.16
  4. Step 4: Simplify right side
    306,492.98x = 72,124,844,302.84
  5. Step 5: Solve for x
    x = 72,124,844,302.84/306,492.98
  6. Step 6: Final answer
    x = 235,322.99

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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.