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Finding the Fourth Proportional to 548,722.10, 824,465.55 and 349,138.10

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Solution

The fourth proportional to 548,722.10, 824,465.55 and 349,138.10 is: 524,586.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    548,722.10 : 824,465.55 = 349,138.10 : x
  2. Step 2: Convert to fraction form
    548,722.10/824,465.55 = 349,138.10/x
  3. Step 3: Cross multiply
    548,722.10x = 824,465.55 × 349,138.10
  4. Step 4: Simplify right side
    548,722.10x = 287,852,335,642.46
  5. Step 5: Solve for x
    x = 287,852,335,642.46/548,722.10
  6. Step 6: Final answer
    x = 524,586.74

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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.