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Finding the Fourth Proportional to 519,465.68, 716,823.24 and 293,132.24

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Solution

The fourth proportional to 519,465.68, 716,823.24 and 293,132.24 is: 404,500.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,465.68 : 716,823.24 = 293,132.24 : x
  2. Step 2: Convert to fraction form
    519,465.68/716,823.24 = 293,132.24/x
  3. Step 3: Cross multiply
    519,465.68x = 716,823.24 × 293,132.24
  4. Step 4: Simplify right side
    519,465.68x = 210,124,002,025.26
  5. Step 5: Solve for x
    x = 210,124,002,025.26/519,465.68
  6. Step 6: Final answer
    x = 404,500.26

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.