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Finding the Fourth Proportional to 424,884.74, 586,339.41 and 233,898.13

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Solution

The fourth proportional to 424,884.74, 586,339.41 and 233,898.13 is: 322,778.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,884.74 : 586,339.41 = 233,898.13 : x
  2. Step 2: Convert to fraction form
    424,884.74/586,339.41 = 233,898.13/x
  3. Step 3: Cross multiply
    424,884.74x = 586,339.41 × 233,898.13
  4. Step 4: Simplify right side
    424,884.74x = 137,143,691,838.67
  5. Step 5: Solve for x
    x = 137,143,691,838.67/424,884.74
  6. Step 6: Final answer
    x = 322,778.58

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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.