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Finding the Fourth Proportional to 531,271, 733,200.06 and 292,853.08

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Solution

The fourth proportional to 531,271, 733,200.06 and 292,853.08 is: 404,162.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,271 : 733,200.06 = 292,853.08 : x
  2. Step 2: Convert to fraction form
    531,271/733,200.06 = 292,853.08/x
  3. Step 3: Cross multiply
    531,271x = 733,200.06 × 292,853.08
  4. Step 4: Simplify right side
    531,271x = 214,719,895,827.19
  5. Step 5: Solve for x
    x = 214,719,895,827.19/531,271
  6. Step 6: Final answer
    x = 404,162.65

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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.