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Finding the Fourth Proportional to 514,326, 709,777.21 and 296,530.36

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Solution

The fourth proportional to 514,326, 709,777.21 and 296,530.36 is: 409,216.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,326 : 709,777.21 = 296,530.36 : x
  2. Step 2: Convert to fraction form
    514,326/709,777.21 = 296,530.36/x
  3. Step 3: Cross multiply
    514,326x = 709,777.21 × 296,530.36
  4. Step 4: Simplify right side
    514,326x = 210,470,488,714.66
  5. Step 5: Solve for x
    x = 210,470,488,714.66/514,326
  6. Step 6: Final answer
    x = 409,216.12

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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.