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Finding the Fourth Proportional to 424,863.10, 586,327.80 and 233,894.26

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Solution

The fourth proportional to 424,863.10, 586,327.80 and 233,894.26 is: 322,783.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,863.10 : 586,327.80 = 233,894.26 : x
  2. Step 2: Convert to fraction form
    424,863.10/586,327.80 = 233,894.26/x
  3. Step 3: Cross multiply
    424,863.10x = 586,327.80 × 233,894.26
  4. Step 4: Simplify right side
    424,863.10x = 137,138,706,898.43
  5. Step 5: Solve for x
    x = 137,138,706,898.43/424,863.10
  6. Step 6: Final answer
    x = 322,783.28

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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.