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Finding the Fourth Proportional to 424,446.14, 585,723.32 and 233,459.48

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Solution

The fourth proportional to 424,446.14, 585,723.32 and 233,459.48 is: 322,167.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,446.14 : 585,723.32 = 233,459.48 : x
  2. Step 2: Convert to fraction form
    424,446.14/585,723.32 = 233,459.48/x
  3. Step 3: Cross multiply
    424,446.14x = 585,723.32 × 233,459.48
  4. Step 4: Simplify right side
    424,446.14x = 136,742,658,782.46
  5. Step 5: Solve for x
    x = 136,742,658,782.46/424,446.14
  6. Step 6: Final answer
    x = 322,167.28

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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.