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Finding the Fourth Proportional to 384,702.36, 577,057.90 and 118,460.76

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Solution

The fourth proportional to 384,702.36, 577,057.90 and 118,460.76 is: 177,692.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,702.36 : 577,057.90 = 118,460.76 : x
  2. Step 2: Convert to fraction form
    384,702.36/577,057.90 = 118,460.76/x
  3. Step 3: Cross multiply
    384,702.36x = 577,057.90 × 118,460.76
  4. Step 4: Simplify right side
    384,702.36x = 68,358,717,398.00
  5. Step 5: Solve for x
    x = 68,358,717,398.00/384,702.36
  6. Step 6: Final answer
    x = 177,692.48

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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.