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Finding the Fourth Proportional to 519,843.52, 779,792.80 and 164,830.24

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Solution

The fourth proportional to 519,843.52, 779,792.80 and 164,830.24 is: 247,254.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,843.52 : 779,792.80 = 164,830.24 : x
  2. Step 2: Convert to fraction form
    519,843.52/779,792.80 = 164,830.24/x
  3. Step 3: Cross multiply
    519,843.52x = 779,792.80 × 164,830.24
  4. Step 4: Simplify right side
    519,843.52x = 128,533,434,374.27
  5. Step 5: Solve for x
    x = 128,533,434,374.27/519,843.52
  6. Step 6: Final answer
    x = 247,254.09

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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.