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Finding the Fourth Proportional to 424,296.96, 585,509.76 and 233,318.40

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Solution

The fourth proportional to 424,296.96, 585,509.76 and 233,318.40 is: 321,968.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,296.96 : 585,509.76 = 233,318.40 : x
  2. Step 2: Convert to fraction form
    424,296.96/585,509.76 = 233,318.40/x
  3. Step 3: Cross multiply
    424,296.96x = 585,509.76 × 233,318.40
  4. Step 4: Simplify right side
    424,296.96x = 136,610,200,387.58
  5. Step 5: Solve for x
    x = 136,610,200,387.58/424,296.96
  6. Step 6: Final answer
    x = 321,968.37

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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.