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Finding the Fourth Proportional to 385,573.01, 532,097.33 and 211,158.54

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Solution

The fourth proportional to 385,573.01, 532,097.33 and 211,158.54 is: 291,402.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,573.01 : 532,097.33 = 211,158.54 : x
  2. Step 2: Convert to fraction form
    385,573.01/532,097.33 = 211,158.54/x
  3. Step 3: Cross multiply
    385,573.01x = 532,097.33 × 211,158.54
  4. Step 4: Simplify right side
    385,573.01x = 112,356,894,284.91
  5. Step 5: Solve for x
    x = 112,356,894,284.91/385,573.01
  6. Step 6: Final answer
    x = 291,402.39

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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.