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Finding the Fourth Proportional to 295,004.82, 442,509.84 and 95,325.24

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Solution

The fourth proportional to 295,004.82, 442,509.84 and 95,325.24 is: 142,988.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,004.82 : 442,509.84 = 95,325.24 : x
  2. Step 2: Convert to fraction form
    295,004.82/442,509.84 = 95,325.24/x
  3. Step 3: Cross multiply
    295,004.82x = 442,509.84 × 95,325.24
  4. Step 4: Simplify right side
    295,004.82x = 42,182,356,700.36
  5. Step 5: Solve for x
    x = 42,182,356,700.36/295,004.82
  6. Step 6: Final answer
    x = 142,988.70

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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.