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Finding the Fourth Proportional to 403,841.30, 605,848.14 and 201,546.22

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Solution

The fourth proportional to 403,841.30, 605,848.14 and 201,546.22 is: 302,362.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,841.30 : 605,848.14 = 201,546.22 : x
  2. Step 2: Convert to fraction form
    403,841.30/605,848.14 = 201,546.22/x
  3. Step 3: Cross multiply
    403,841.30x = 605,848.14 × 201,546.22
  4. Step 4: Simplify right side
    403,841.30x = 122,106,402,511.03
  5. Step 5: Solve for x
    x = 122,106,402,511.03/403,841.30
  6. Step 6: Final answer
    x = 302,362.35

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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.