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Finding the Fourth Proportional to 401,533.46, 602,199.15 and 164,941.46

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Solution

The fourth proportional to 401,533.46, 602,199.15 and 164,941.46 is: 247,370.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,533.46 : 602,199.15 = 164,941.46 : x
  2. Step 2: Convert to fraction form
    401,533.46/602,199.15 = 164,941.46/x
  3. Step 3: Cross multiply
    401,533.46x = 602,199.15 × 164,941.46
  4. Step 4: Simplify right side
    401,533.46x = 99,327,607,011.76
  5. Step 5: Solve for x
    x = 99,327,607,011.76/401,533.46
  6. Step 6: Final answer
    x = 247,370.68

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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.