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Finding the Fourth Proportional to 424,083.68, 585,223.92 and 233,097.12

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Solution

The fourth proportional to 424,083.68, 585,223.92 and 233,097.12 is: 321,667.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,083.68 : 585,223.92 = 233,097.12 : x
  2. Step 2: Convert to fraction form
    424,083.68/585,223.92 = 233,097.12/x
  3. Step 3: Cross multiply
    424,083.68x = 585,223.92 × 233,097.12
  4. Step 4: Simplify right side
    424,083.68x = 136,414,010,307.11
  5. Step 5: Solve for x
    x = 136,414,010,307.11/424,083.68
  6. Step 6: Final answer
    x = 321,667.67

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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.