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Finding the Fourth Proportional to 309,223.80, 433,535.40 and 309,223.80

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Solution

The fourth proportional to 309,223.80, 433,535.40 and 309,223.80 is: 433,535.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,223.80 : 433,535.40 = 309,223.80 : x
  2. Step 2: Convert to fraction form
    309,223.80/433,535.40 = 309,223.80/x
  3. Step 3: Cross multiply
    309,223.80x = 433,535.40 × 309,223.80
  4. Step 4: Simplify right side
    309,223.80x = 134,059,463,822.52
  5. Step 5: Solve for x
    x = 134,059,463,822.52/309,223.80
  6. Step 6: Final answer
    x = 433,535.40

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.