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Finding the Fourth Proportional to 541,810.64, 747,706.59 and 312,363.98

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Solution

The fourth proportional to 541,810.64, 747,706.59 and 312,363.98 is: 431,066.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,810.64 : 747,706.59 = 312,363.98 : x
  2. Step 2: Convert to fraction form
    541,810.64/747,706.59 = 312,363.98/x
  3. Step 3: Cross multiply
    541,810.64x = 747,706.59 × 312,363.98
  4. Step 4: Simplify right side
    541,810.64x = 233,556,606,324.63
  5. Step 5: Solve for x
    x = 233,556,606,324.63/541,810.64
  6. Step 6: Final answer
    x = 431,066.85

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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.