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Finding the Fourth Proportional to 519,135.13, 716,406.42 and 292,780.63

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Solution

The fourth proportional to 519,135.13, 716,406.42 and 292,780.63 is: 404,037.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,135.13 : 716,406.42 = 292,780.63 : x
  2. Step 2: Convert to fraction form
    519,135.13/716,406.42 = 292,780.63/x
  3. Step 3: Cross multiply
    519,135.13x = 716,406.42 × 292,780.63
  4. Step 4: Simplify right side
    519,135.13x = 209,749,922,983.65
  5. Step 5: Solve for x
    x = 209,749,922,983.65/519,135.13
  6. Step 6: Final answer
    x = 404,037.24

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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.