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Finding the Fourth Proportional to 531,097.92, 797,014.71 and 211,216.95

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Solution

The fourth proportional to 531,097.92, 797,014.71 and 211,216.95 is: 316,971.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,097.92 : 797,014.71 = 211,216.95 : x
  2. Step 2: Convert to fraction form
    531,097.92/797,014.71 = 211,216.95/x
  3. Step 3: Cross multiply
    531,097.92x = 797,014.71 × 211,216.95
  4. Step 4: Simplify right side
    531,097.92x = 168,343,016,151.34
  5. Step 5: Solve for x
    x = 168,343,016,151.34/531,097.92
  6. Step 6: Final answer
    x = 316,971.71

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1.5x scale

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.