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Finding the Fourth Proportional to 506,228.88, 759,055.76 and 206,358.24

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Solution

The fourth proportional to 506,228.88, 759,055.76 and 206,358.24 is: 309,420.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,228.88 : 759,055.76 = 206,358.24 : x
  2. Step 2: Convert to fraction form
    506,228.88/759,055.76 = 206,358.24/x
  3. Step 3: Cross multiply
    506,228.88x = 759,055.76 × 206,358.24
  4. Step 4: Simplify right side
    506,228.88x = 156,637,410,695.46
  5. Step 5: Solve for x
    x = 156,637,410,695.46/506,228.88
  6. Step 6: Final answer
    x = 309,420.14

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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.