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Finding the Fourth Proportional to 548,700.32, 757,465.26 and 412,786.10

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Solution

The fourth proportional to 548,700.32, 757,465.26 and 412,786.10 is: 569,839.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    548,700.32 : 757,465.26 = 412,786.10 : x
  2. Step 2: Convert to fraction form
    548,700.32/757,465.26 = 412,786.10/x
  3. Step 3: Cross multiply
    548,700.32x = 757,465.26 × 412,786.10
  4. Step 4: Simplify right side
    548,700.32x = 312,671,130,560.89
  5. Step 5: Solve for x
    x = 312,671,130,560.89/548,700.32
  6. Step 6: Final answer
    x = 569,839.53

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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.