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Finding the Fourth Proportional to 564,309.75, 846,492.30 and 227,304.88

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Solution

The fourth proportional to 564,309.75, 846,492.30 and 227,304.88 is: 340,968.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,309.75 : 846,492.30 = 227,304.88 : x
  2. Step 2: Convert to fraction form
    564,309.75/846,492.30 = 227,304.88/x
  3. Step 3: Cross multiply
    564,309.75x = 846,492.30 × 227,304.88
  4. Step 4: Simplify right side
    564,309.75x = 192,411,830,672.42
  5. Step 5: Solve for x
    x = 192,411,830,672.42/564,309.75
  6. Step 6: Final answer
    x = 340,968.47

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.