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Finding the Fourth Proportional to 402,484.18, 603,746.94 and 102,967.34

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Solution

The fourth proportional to 402,484.18, 603,746.94 and 102,967.34 is: 154,456.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,484.18 : 603,746.94 = 102,967.34 : x
  2. Step 2: Convert to fraction form
    402,484.18/603,746.94 = 102,967.34/x
  3. Step 3: Cross multiply
    402,484.18x = 603,746.94 × 102,967.34
  4. Step 4: Simplify right side
    402,484.18x = 62,166,212,911.37
  5. Step 5: Solve for x
    x = 62,166,212,911.37/402,484.18
  6. Step 6: Final answer
    x = 154,456.29

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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.