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Finding the Fourth Proportional to 531,585, 733,587.30 and 293,121

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Solution

The fourth proportional to 531,585, 733,587.30 and 293,121 is: 404,506.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,585 : 733,587.30 = 293,121 : x
  2. Step 2: Convert to fraction form
    531,585/733,587.30 = 293,121/x
  3. Step 3: Cross multiply
    531,585x = 733,587.30 × 293,121
  4. Step 4: Simplify right side
    531,585x = 215,029,842,963.30
  5. Step 5: Solve for x
    x = 215,029,842,963.30/531,585
  6. Step 6: Final answer
    x = 404,506.98

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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.