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Finding the Fourth Proportional to 424,136.64, 585,309.24 and 233,151.24

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Solution

The fourth proportional to 424,136.64, 585,309.24 and 233,151.24 is: 321,749.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,136.64 : 585,309.24 = 233,151.24 : x
  2. Step 2: Convert to fraction form
    424,136.64/585,309.24 = 233,151.24/x
  3. Step 3: Cross multiply
    424,136.64x = 585,309.24 × 233,151.24
  4. Step 4: Simplify right side
    424,136.64x = 136,465,575,089.46
  5. Step 5: Solve for x
    x = 136,465,575,089.46/424,136.64
  6. Step 6: Final answer
    x = 321,749.08

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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.