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Finding the Fourth Proportional to 653,507.87, 980,322.28 and 254,178.95

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Solution

The fourth proportional to 653,507.87, 980,322.28 and 254,178.95 is: 381,291.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    653,507.87 : 980,322.28 = 254,178.95 : x
  2. Step 2: Convert to fraction form
    653,507.87/980,322.28 = 254,178.95/x
  3. Step 3: Cross multiply
    653,507.87x = 980,322.28 × 254,178.95
  4. Step 4: Simplify right side
    653,507.87x = 249,177,282,254.95
  5. Step 5: Solve for x
    x = 249,177,282,254.95/653,507.87
  6. Step 6: Final answer
    x = 381,291.94

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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.