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Finding the Fourth Proportional to 596,808.20, 893,138.70 and 410,184.20

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Solution

The fourth proportional to 596,808.20, 893,138.70 and 410,184.20 is: 613,851.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    596,808.20 : 893,138.70 = 410,184.20 : x
  2. Step 2: Convert to fraction form
    596,808.20/893,138.70 = 410,184.20/x
  3. Step 3: Cross multiply
    596,808.20x = 893,138.70 × 410,184.20
  4. Step 4: Simplify right side
    596,808.20x = 366,351,383,148.54
  5. Step 5: Solve for x
    x = 366,351,383,148.54/596,808.20
  6. Step 6: Final answer
    x = 613,851.12

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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.