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Finding the Fourth Proportional to 519,906.40, 778,547.40 and 341,447.20

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Solution

The fourth proportional to 519,906.40, 778,547.40 and 341,447.20 is: 511,309.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,906.40 : 778,547.40 = 341,447.20 : x
  2. Step 2: Convert to fraction form
    519,906.40/778,547.40 = 341,447.20/x
  3. Step 3: Cross multiply
    519,906.40x = 778,547.40 × 341,447.20
  4. Step 4: Simplify right side
    519,906.40x = 265,832,829,797.28
  5. Step 5: Solve for x
    x = 265,832,829,797.28/519,906.40
  6. Step 6: Final answer
    x = 511,309.02

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.