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Finding the Fourth Proportional to 514,037.48, 709,446.22 and 296,203.78

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Solution

The fourth proportional to 514,037.48, 709,446.22 and 296,203.78 is: 408,804.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,037.48 : 709,446.22 = 296,203.78 : x
  2. Step 2: Convert to fraction form
    514,037.48/709,446.22 = 296,203.78/x
  3. Step 3: Cross multiply
    514,037.48x = 709,446.22 × 296,203.78
  4. Step 4: Simplify right side
    514,037.48x = 210,140,649,556.59
  5. Step 5: Solve for x
    x = 210,140,649,556.59/514,037.48
  6. Step 6: Final answer
    x = 408,804.14

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1.5x scale

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.