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Finding the Fourth Proportional to 401,068.30, 601,310.85 and 164,289.10

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Solution

The fourth proportional to 401,068.30, 601,310.85 and 164,289.10 is: 246,314.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,068.30 : 601,310.85 = 164,289.10 : x
  2. Step 2: Convert to fraction form
    401,068.30/601,310.85 = 164,289.10/x
  3. Step 3: Cross multiply
    401,068.30x = 601,310.85 × 164,289.10
  4. Step 4: Simplify right side
    401,068.30x = 98,788,818,366.74
  5. Step 5: Solve for x
    x = 98,788,818,366.74/401,068.30
  6. Step 6: Final answer
    x = 246,314.20

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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.