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Finding the Fourth Proportional to 401,056.42, 601,603.10 and 164,233.04

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Solution

The fourth proportional to 401,056.42, 601,603.10 and 164,233.04 is: 246,357.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,056.42 : 601,603.10 = 164,233.04 : x
  2. Step 2: Convert to fraction form
    401,056.42/601,603.10 = 164,233.04/x
  3. Step 3: Cross multiply
    401,056.42x = 601,603.10 × 164,233.04
  4. Step 4: Simplify right side
    401,056.42x = 98,803,105,986.42
  5. Step 5: Solve for x
    x = 98,803,105,986.42/401,056.42
  6. Step 6: Final answer
    x = 246,357.12

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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.