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Finding the Fourth Proportional to 316,465.68, 437,196.96 and 207,827.76

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Solution

The fourth proportional to 316,465.68, 437,196.96 and 207,827.76 is: 287,113.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,465.68 : 437,196.96 = 207,827.76 : x
  2. Step 2: Convert to fraction form
    316,465.68/437,196.96 = 207,827.76/x
  3. Step 3: Cross multiply
    316,465.68x = 437,196.96 × 207,827.76
  4. Step 4: Simplify right side
    316,465.68x = 90,861,664,875.61
  5. Step 5: Solve for x
    x = 90,861,664,875.61/316,465.68
  6. Step 6: Final answer
    x = 287,113.80

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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.