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Finding the Fourth Proportional to 531,582, 733,583.16 and 293,118

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Solution

The fourth proportional to 531,582, 733,583.16 and 293,118 is: 404,502.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,582 : 733,583.16 = 293,118 : x
  2. Step 2: Convert to fraction form
    531,582/733,583.16 = 293,118/x
  3. Step 3: Cross multiply
    531,582x = 733,583.16 × 293,118
  4. Step 4: Simplify right side
    531,582x = 215,026,428,692.88
  5. Step 5: Solve for x
    x = 215,026,428,692.88/531,582
  6. Step 6: Final answer
    x = 404,502.84

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.