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Finding the Fourth Proportional to 495,201.12, 742,309.59 and 295,221.84

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Solution

The fourth proportional to 495,201.12, 742,309.59 and 295,221.84 is: 442,539.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    495,201.12 : 742,309.59 = 295,221.84 : x
  2. Step 2: Convert to fraction form
    495,201.12/742,309.59 = 295,221.84/x
  3. Step 3: Cross multiply
    495,201.12x = 742,309.59 × 295,221.84
  4. Step 4: Simplify right side
    495,201.12x = 219,146,003,009.45
  5. Step 5: Solve for x
    x = 219,146,003,009.45/495,201.12
  6. Step 6: Final answer
    x = 442,539.39

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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.