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Finding the Fourth Proportional to 368,524, 508,557.14 and 207,378.96

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Solution

The fourth proportional to 368,524, 508,557.14 and 207,378.96 is: 286,179.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,524 : 508,557.14 = 207,378.96 : x
  2. Step 2: Convert to fraction form
    368,524/508,557.14 = 207,378.96/x
  3. Step 3: Cross multiply
    368,524x = 508,557.14 × 207,378.96
  4. Step 4: Simplify right side
    368,524x = 105,464,050,793.77
  5. Step 5: Solve for x
    x = 105,464,050,793.77/368,524
  6. Step 6: Final answer
    x = 286,179.60

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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.