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Finding the Fourth Proportional to 295,394.36, 442,041.77 and 216,312.44

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Solution

The fourth proportional to 295,394.36, 442,041.77 and 216,312.44 is: 323,699.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,394.36 : 442,041.77 = 216,312.44 : x
  2. Step 2: Convert to fraction form
    295,394.36/442,041.77 = 216,312.44/x
  3. Step 3: Cross multiply
    295,394.36x = 442,041.77 × 216,312.44
  4. Step 4: Simplify right side
    295,394.36x = 95,619,132,181.19
  5. Step 5: Solve for x
    x = 95,619,132,181.19/295,394.36
  6. Step 6: Final answer
    x = 323,699.93

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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.