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Finding the Fourth Proportional to 519,702.90, 779,576.22 and 164,709.06

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Solution

The fourth proportional to 519,702.90, 779,576.22 and 164,709.06 is: 247,070.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,702.90 : 779,576.22 = 164,709.06 : x
  2. Step 2: Convert to fraction form
    519,702.90/779,576.22 = 164,709.06/x
  3. Step 3: Cross multiply
    519,702.90x = 779,576.22 × 164,709.06
  4. Step 4: Simplify right side
    519,702.90x = 128,403,266,394.55
  5. Step 5: Solve for x
    x = 128,403,266,394.55/519,702.90
  6. Step 6: Final answer
    x = 247,070.52

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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.