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Finding the Fourth Proportional to 805,507.64, 1,208,303.83 and 206,473.76

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Solution

The fourth proportional to 805,507.64, 1,208,303.83 and 206,473.76 is: 309,721.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    805,507.64 : 1,208,303.83 = 206,473.76 : x
  2. Step 2: Convert to fraction form
    805,507.64/1,208,303.83 = 206,473.76/x
  3. Step 3: Cross multiply
    805,507.64x = 1,208,303.83 × 206,473.76
  4. Step 4: Simplify right side
    805,507.64x = 249,483,033,750.21
  5. Step 5: Solve for x
    x = 249,483,033,750.21/805,507.64
  6. Step 6: Final answer
    x = 309,721.50

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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.