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Finding the Fourth Proportional to 468,009.10, 702,013.65 and 231,813.10

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Solution

The fourth proportional to 468,009.10, 702,013.65 and 231,813.10 is: 347,719.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,009.10 : 702,013.65 = 231,813.10 : x
  2. Step 2: Convert to fraction form
    468,009.10/702,013.65 = 231,813.10/x
  3. Step 3: Cross multiply
    468,009.10x = 702,013.65 × 231,813.10
  4. Step 4: Simplify right side
    468,009.10x = 162,735,960,448.82
  5. Step 5: Solve for x
    x = 162,735,960,448.82/468,009.10
  6. Step 6: Final answer
    x = 347,719.65

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.