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Finding the Fourth Proportional to 403,735.40, 605,603.10 and 297,981.80

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Solution

The fourth proportional to 403,735.40, 605,603.10 and 297,981.80 is: 446,972.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,735.40 : 605,603.10 = 297,981.80 : x
  2. Step 2: Convert to fraction form
    403,735.40/605,603.10 = 297,981.80/x
  3. Step 3: Cross multiply
    403,735.40x = 605,603.10 × 297,981.80
  4. Step 4: Simplify right side
    403,735.40x = 180,458,701,823.58
  5. Step 5: Solve for x
    x = 180,458,701,823.58/403,735.40
  6. Step 6: Final answer
    x = 446,972.70

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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.