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Finding the Fourth Proportional to 390,786.95, 586,272.57 and 311,126.09

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Solution

The fourth proportional to 390,786.95, 586,272.57 and 311,126.09 is: 466,762.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,786.95 : 586,272.57 = 311,126.09 : x
  2. Step 2: Convert to fraction form
    390,786.95/586,272.57 = 311,126.09/x
  3. Step 3: Cross multiply
    390,786.95x = 586,272.57 × 311,126.09
  4. Step 4: Simplify right side
    390,786.95x = 182,404,692,378.35
  5. Step 5: Solve for x
    x = 182,404,692,378.35/390,786.95
  6. Step 6: Final answer
    x = 466,762.50

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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.