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Finding the Fourth Proportional to 530,875.84, 796,641 and 215,335.48

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Solution

The fourth proportional to 530,875.84, 796,641 and 215,335.48 is: 323,135.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    530,875.84 : 796,641 = 215,335.48 : x
  2. Step 2: Convert to fraction form
    530,875.84/796,641 = 215,335.48/x
  3. Step 3: Cross multiply
    530,875.84x = 796,641 × 215,335.48
  4. Step 4: Simplify right side
    530,875.84x = 171,545,072,122.68
  5. Step 5: Solve for x
    x = 171,545,072,122.68/530,875.84
  6. Step 6: Final answer
    x = 323,135.96

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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.