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Finding the Fourth Proportional to 431,812.26, 595,904.13 and 240,838.02

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Solution

The fourth proportional to 431,812.26, 595,904.13 and 240,838.02 is: 332,358.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,812.26 : 595,904.13 = 240,838.02 : x
  2. Step 2: Convert to fraction form
    431,812.26/595,904.13 = 240,838.02/x
  3. Step 3: Cross multiply
    431,812.26x = 595,904.13 × 240,838.02
  4. Step 4: Simplify right side
    431,812.26x = 143,516,370,779.02
  5. Step 5: Solve for x
    x = 143,516,370,779.02/431,812.26
  6. Step 6: Final answer
    x = 332,358.26

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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.