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Finding the Fourth Proportional to 518,071.86, 714,665.52 and 356,646.66

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Solution

The fourth proportional to 518,071.86, 714,665.52 and 356,646.66 is: 491,984.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    518,071.86 : 714,665.52 = 356,646.66 : x
  2. Step 2: Convert to fraction form
    518,071.86/714,665.52 = 356,646.66/x
  3. Step 3: Cross multiply
    518,071.86x = 714,665.52 × 356,646.66
  4. Step 4: Simplify right side
    518,071.86x = 254,883,070,725.16
  5. Step 5: Solve for x
    x = 254,883,070,725.16/518,071.86
  6. Step 6: Final answer
    x = 491,984.01

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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.