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Finding the Fourth Proportional to 421,083.96, 581,097.41 and 230,097.38

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Solution

The fourth proportional to 421,083.96, 581,097.41 and 230,097.38 is: 317,535.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,083.96 : 581,097.41 = 230,097.38 : x
  2. Step 2: Convert to fraction form
    421,083.96/581,097.41 = 230,097.38/x
  3. Step 3: Cross multiply
    421,083.96x = 581,097.41 × 230,097.38
  4. Step 4: Simplify right side
    421,083.96x = 133,708,987,509.81
  5. Step 5: Solve for x
    x = 133,708,987,509.81/421,083.96
  6. Step 6: Final answer
    x = 317,535.22

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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.