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Finding the Fourth Proportional to 519,877.36, 717,023.04 and 338,646.32

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Solution

The fourth proportional to 519,877.36, 717,023.04 and 338,646.32 is: 467,066.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,877.36 : 717,023.04 = 338,646.32 : x
  2. Step 2: Convert to fraction form
    519,877.36/717,023.04 = 338,646.32/x
  3. Step 3: Cross multiply
    519,877.36x = 717,023.04 × 338,646.32
  4. Step 4: Simplify right side
    519,877.36x = 242,817,213,851.21
  5. Step 5: Solve for x
    x = 242,817,213,851.21/519,877.36
  6. Step 6: Final answer
    x = 467,066.34

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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.