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Finding the Fourth Proportional to 537,097.50, 741,212.64 and 295,390.26

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Solution

The fourth proportional to 537,097.50, 741,212.64 and 295,390.26 is: 407,648.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,097.50 : 741,212.64 = 295,390.26 : x
  2. Step 2: Convert to fraction form
    537,097.50/741,212.64 = 295,390.26/x
  3. Step 3: Cross multiply
    537,097.50x = 741,212.64 × 295,390.26
  4. Step 4: Simplify right side
    537,097.50x = 218,946,994,444.89
  5. Step 5: Solve for x
    x = 218,946,994,444.89/537,097.50
  6. Step 6: Final answer
    x = 407,648.51

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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.