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Finding the Fourth Proportional to 518,019.68, 714,900.18 and 314,090.12

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Solution

The fourth proportional to 518,019.68, 714,900.18 and 314,090.12 is: 433,464.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    518,019.68 : 714,900.18 = 314,090.12 : x
  2. Step 2: Convert to fraction form
    518,019.68/714,900.18 = 314,090.12/x
  3. Step 3: Cross multiply
    518,019.68x = 714,900.18 × 314,090.12
  4. Step 4: Simplify right side
    518,019.68x = 224,543,083,324.22
  5. Step 5: Solve for x
    x = 224,543,083,324.22/518,019.68
  6. Step 6: Final answer
    x = 433,464.39

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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.