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Finding the Fourth Proportional to 532,448.25, 734,774.85 and 290,730.66

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Solution

The fourth proportional to 532,448.25, 734,774.85 and 290,730.66 is: 401,206.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,448.25 : 734,774.85 = 290,730.66 : x
  2. Step 2: Convert to fraction form
    532,448.25/734,774.85 = 290,730.66/x
  3. Step 3: Cross multiply
    532,448.25x = 734,774.85 × 290,730.66
  4. Step 4: Simplify right side
    532,448.25x = 213,621,577,091.90
  5. Step 5: Solve for x
    x = 213,621,577,091.90/532,448.25
  6. Step 6: Final answer
    x = 401,206.27

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.