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Finding the Fourth Proportional to 614,015.64, 920,702.70 and 193,178.52

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Solution

The fourth proportional to 614,015.64, 920,702.70 and 193,178.52 is: 289,666.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    614,015.64 : 920,702.70 = 193,178.52 : x
  2. Step 2: Convert to fraction form
    614,015.64/920,702.70 = 193,178.52/x
  3. Step 3: Cross multiply
    614,015.64x = 920,702.70 × 193,178.52
  4. Step 4: Simplify right side
    614,015.64x = 177,859,984,946.00
  5. Step 5: Solve for x
    x = 177,859,984,946.00/614,015.64
  6. Step 6: Final answer
    x = 289,666.86

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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.