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Finding the Fourth Proportional to 424,904.40, 586,371.96 and 233,922

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Solution

The fourth proportional to 424,904.40, 586,371.96 and 233,922 is: 322,814.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,904.40 : 586,371.96 = 233,922 : x
  2. Step 2: Convert to fraction form
    424,904.40/586,371.96 = 233,922/x
  3. Step 3: Cross multiply
    424,904.40x = 586,371.96 × 233,922
  4. Step 4: Simplify right side
    424,904.40x = 137,165,301,627.12
  5. Step 5: Solve for x
    x = 137,165,301,627.12/424,904.40
  6. Step 6: Final answer
    x = 322,814.50

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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.