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Finding the Fourth Proportional to 323,669.92, 484,864.08 and 152,657.44

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Solution

The fourth proportional to 323,669.92, 484,864.08 and 152,657.44 is: 228,683.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,669.92 : 484,864.08 = 152,657.44 : x
  2. Step 2: Convert to fraction form
    323,669.92/484,864.08 = 152,657.44/x
  3. Step 3: Cross multiply
    323,669.92x = 484,864.08 × 152,657.44
  4. Step 4: Simplify right side
    323,669.92x = 74,018,109,200.76
  5. Step 5: Solve for x
    x = 74,018,109,200.76/323,669.92
  6. Step 6: Final answer
    x = 228,683.93

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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.