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Finding the Fourth Proportional to 320,702.13, 481,048.16 and 110,341.89

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Solution

The fourth proportional to 320,702.13, 481,048.16 and 110,341.89 is: 165,511.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,702.13 : 481,048.16 = 110,341.89 : x
  2. Step 2: Convert to fraction form
    320,702.13/481,048.16 = 110,341.89/x
  3. Step 3: Cross multiply
    320,702.13x = 481,048.16 × 110,341.89
  4. Step 4: Simplify right side
    320,702.13x = 53,079,762,603.71
  5. Step 5: Solve for x
    x = 53,079,762,603.71/320,702.13
  6. Step 6: Final answer
    x = 165,511.10

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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.