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Finding the Fourth Proportional to 345,787, 518,884.68 and 146,094.52

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Solution

The fourth proportional to 345,787, 518,884.68 and 146,094.52 is: 219,228.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,787 : 518,884.68 = 146,094.52 : x
  2. Step 2: Convert to fraction form
    345,787/518,884.68 = 146,094.52/x
  3. Step 3: Cross multiply
    345,787x = 518,884.68 × 146,094.52
  4. Step 4: Simplify right side
    345,787x = 75,806,208,259.95
  5. Step 5: Solve for x
    x = 75,806,208,259.95/345,787
  6. Step 6: Final answer
    x = 219,228.05

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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.