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Finding the Fourth Proportional to 403,584, 556,945.92 and 233,916.54

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Solution

The fourth proportional to 403,584, 556,945.92 and 233,916.54 is: 322,804.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,584 : 556,945.92 = 233,916.54 : x
  2. Step 2: Convert to fraction form
    403,584/556,945.92 = 233,916.54/x
  3. Step 3: Cross multiply
    403,584x = 556,945.92 × 233,916.54
  4. Step 4: Simplify right side
    403,584x = 130,278,862,573.52
  5. Step 5: Solve for x
    x = 130,278,862,573.52/403,584
  6. Step 6: Final answer
    x = 322,804.83

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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.