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Finding the Fourth Proportional to 230,466.24, 345,713.04 and 64,254.24

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Solution

The fourth proportional to 230,466.24, 345,713.04 and 64,254.24 is: 96,385.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,466.24 : 345,713.04 = 64,254.24 : x
  2. Step 2: Convert to fraction form
    230,466.24/345,713.04 = 64,254.24/x
  3. Step 3: Cross multiply
    230,466.24x = 345,713.04 × 64,254.24
  4. Step 4: Simplify right side
    230,466.24x = 22,213,528,643.29
  5. Step 5: Solve for x
    x = 22,213,528,643.29/230,466.24
  6. Step 6: Final answer
    x = 96,385.17

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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.