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Finding the Fourth Proportional to 401,051.70, 601,577.55 and 322,319.70

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Solution

The fourth proportional to 401,051.70, 601,577.55 and 322,319.70 is: 483,479.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,051.70 : 601,577.55 = 322,319.70 : x
  2. Step 2: Convert to fraction form
    401,051.70/601,577.55 = 322,319.70/x
  3. Step 3: Cross multiply
    401,051.70x = 601,577.55 × 322,319.70
  4. Step 4: Simplify right side
    401,051.70x = 193,900,295,442.74
  5. Step 5: Solve for x
    x = 193,900,295,442.74/401,051.70
  6. Step 6: Final answer
    x = 483,479.55

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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.