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Finding the Fourth Proportional to 611,384.96, 917,236.00 and 232,312.25

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Solution

The fourth proportional to 611,384.96, 917,236.00 and 232,312.25 is: 348,528.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    611,384.96 : 917,236.00 = 232,312.25 : x
  2. Step 2: Convert to fraction form
    611,384.96/917,236.00 = 232,312.25/x
  3. Step 3: Cross multiply
    611,384.96x = 917,236.00 × 232,312.25
  4. Step 4: Simplify right side
    611,384.96x = 213,085,161,524.48
  5. Step 5: Solve for x
    x = 213,085,161,524.48/611,384.96
  6. Step 6: Final answer
    x = 348,528.63

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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.