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Finding the Fourth Proportional to 424,449.64, 585,728.16 and 233,462.98

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Solution

The fourth proportional to 424,449.64, 585,728.16 and 233,462.98 is: 322,172.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,449.64 : 585,728.16 = 233,462.98 : x
  2. Step 2: Convert to fraction form
    424,449.64/585,728.16 = 233,462.98/x
  3. Step 3: Cross multiply
    424,449.64x = 585,728.16 × 233,462.98
  4. Step 4: Simplify right side
    424,449.64x = 136,745,841,703.52
  5. Step 5: Solve for x
    x = 136,745,841,703.52/424,449.64
  6. Step 6: Final answer
    x = 322,172.12

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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.