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Finding the Fourth Proportional to 300,702.85, 414,959.05 and 171,647.98

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Solution

The fourth proportional to 300,702.85, 414,959.05 and 171,647.98 is: 236,868.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,702.85 : 414,959.05 = 171,647.98 : x
  2. Step 2: Convert to fraction form
    300,702.85/414,959.05 = 171,647.98/x
  3. Step 3: Cross multiply
    300,702.85x = 414,959.05 × 171,647.98
  4. Step 4: Simplify right side
    300,702.85x = 71,226,881,892.38
  5. Step 5: Solve for x
    x = 71,226,881,892.38/300,702.85
  6. Step 6: Final answer
    x = 236,868.00

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.