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Finding the Fourth Proportional to 519,319.40, 778,898.10 and 164,420.60

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Solution

The fourth proportional to 519,319.40, 778,898.10 and 164,420.60 is: 246,605.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,319.40 : 778,898.10 = 164,420.60 : x
  2. Step 2: Convert to fraction form
    519,319.40/778,898.10 = 164,420.60/x
  3. Step 3: Cross multiply
    519,319.40x = 778,898.10 × 164,420.60
  4. Step 4: Simplify right side
    519,319.40x = 128,066,892,940.86
  5. Step 5: Solve for x
    x = 128,066,892,940.86/519,319.40
  6. Step 6: Final answer
    x = 246,605.25

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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.