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Finding the Fourth Proportional to 519,889.90, 778,522.65 and 341,430.70

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Solution

The fourth proportional to 519,889.90, 778,522.65 and 341,430.70 is: 511,284.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,889.90 : 778,522.65 = 341,430.70 : x
  2. Step 2: Convert to fraction form
    519,889.90/778,522.65 = 341,430.70/x
  3. Step 3: Cross multiply
    519,889.90x = 778,522.65 × 341,430.70
  4. Step 4: Simplify right side
    519,889.90x = 265,811,533,355.36
  5. Step 5: Solve for x
    x = 265,811,533,355.36/519,889.90
  6. Step 6: Final answer
    x = 511,284.28

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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.