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Finding the Fourth Proportional to 401,464.40, 602,196.84 and 101,967.44

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Solution

The fourth proportional to 401,464.40, 602,196.84 and 101,967.44 is: 152,951.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,464.40 : 602,196.84 = 101,967.44 : x
  2. Step 2: Convert to fraction form
    401,464.40/602,196.84 = 101,967.44/x
  3. Step 3: Cross multiply
    401,464.40x = 602,196.84 × 101,967.44
  4. Step 4: Simplify right side
    401,464.40x = 61,404,470,150.89
  5. Step 5: Solve for x
    x = 61,404,470,150.89/401,464.40
  6. Step 6: Final answer
    x = 152,951.22

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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.