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Finding the Fourth Proportional to 401,000.90, 601,501.35 and 164,513.30

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Solution

The fourth proportional to 401,000.90, 601,501.35 and 164,513.30 is: 246,769.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,000.90 : 601,501.35 = 164,513.30 : x
  2. Step 2: Convert to fraction form
    401,000.90/601,501.35 = 164,513.30/x
  3. Step 3: Cross multiply
    401,000.90x = 601,501.35 × 164,513.30
  4. Step 4: Simplify right side
    401,000.90x = 98,954,972,042.96
  5. Step 5: Solve for x
    x = 98,954,972,042.96/401,000.90
  6. Step 6: Final answer
    x = 246,769.95

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1.5x scale

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.