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Finding the Fourth Proportional to 294,077.76, 405,659.52 and 180,820.32

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Solution

The fourth proportional to 294,077.76, 405,659.52 and 180,820.32 is: 249,428.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,077.76 : 405,659.52 = 180,820.32 : x
  2. Step 2: Convert to fraction form
    294,077.76/405,659.52 = 180,820.32/x
  3. Step 3: Cross multiply
    294,077.76x = 405,659.52 × 180,820.32
  4. Step 4: Simplify right side
    294,077.76x = 73,351,484,217.45
  5. Step 5: Solve for x
    x = 73,351,484,217.45/294,077.76
  6. Step 6: Final answer
    x = 249,428.87

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1.5x scale

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.