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Finding the Fourth Proportional to 280,365.08, 420,553.58 and 100,462.24

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Solution

The fourth proportional to 280,365.08, 420,553.58 and 100,462.24 is: 150,695.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,365.08 : 420,553.58 = 100,462.24 : x
  2. Step 2: Convert to fraction form
    280,365.08/420,553.58 = 100,462.24/x
  3. Step 3: Cross multiply
    280,365.08x = 420,553.58 × 100,462.24
  4. Step 4: Simplify right side
    280,365.08x = 42,249,754,686.82
  5. Step 5: Solve for x
    x = 42,249,754,686.82/280,365.08
  6. Step 6: Final answer
    x = 150,695.50

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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.