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Finding the Fourth Proportional to 377,498.73, 520,970.69 and 216,364.14

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Solution

The fourth proportional to 377,498.73, 520,970.69 and 216,364.14 is: 298,595.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,498.73 : 520,970.69 = 216,364.14 : x
  2. Step 2: Convert to fraction form
    377,498.73/520,970.69 = 216,364.14/x
  3. Step 3: Cross multiply
    377,498.73x = 520,970.69 × 216,364.14
  4. Step 4: Simplify right side
    377,498.73x = 112,719,375,307.06
  5. Step 5: Solve for x
    x = 112,719,375,307.06/377,498.73
  6. Step 6: Final answer
    x = 298,595.38

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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.