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Finding the Fourth Proportional to 519,294.41, 779,054.61 and 164,311.50

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Solution

The fourth proportional to 519,294.41, 779,054.61 and 164,311.50 is: 246,503.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,294.41 : 779,054.61 = 164,311.50 : x
  2. Step 2: Convert to fraction form
    519,294.41/779,054.61 = 164,311.50/x
  3. Step 3: Cross multiply
    519,294.41x = 779,054.61 × 164,311.50
  4. Step 4: Simplify right side
    519,294.41x = 128,007,631,551.02
  5. Step 5: Solve for x
    x = 128,007,631,551.02/519,294.41
  6. Step 6: Final answer
    x = 246,503.01

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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.