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Finding the Fourth Proportional to 401,064.90, 601,597.35 and 164,577.30

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Solution

The fourth proportional to 401,064.90, 601,597.35 and 164,577.30 is: 246,865.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,064.90 : 601,597.35 = 164,577.30 : x
  2. Step 2: Convert to fraction form
    401,064.90/601,597.35 = 164,577.30/x
  3. Step 3: Cross multiply
    401,064.90x = 601,597.35 × 164,577.30
  4. Step 4: Simplify right side
    401,064.90x = 99,009,267,550.16
  5. Step 5: Solve for x
    x = 99,009,267,550.16/401,064.90
  6. Step 6: Final answer
    x = 246,865.95

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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.