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Finding the Fourth Proportional to 292,223.80, 438,854.10 and 225,825.40

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Solution

The fourth proportional to 292,223.80, 438,854.10 and 225,825.40 is: 339,138.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,223.80 : 438,854.10 = 225,825.40 : x
  2. Step 2: Convert to fraction form
    292,223.80/438,854.10 = 225,825.40/x
  3. Step 3: Cross multiply
    292,223.80x = 438,854.10 × 225,825.40
  4. Step 4: Simplify right side
    292,223.80x = 99,104,402,674.14
  5. Step 5: Solve for x
    x = 99,104,402,674.14/292,223.80
  6. Step 6: Final answer
    x = 339,138.71

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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.