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Finding the Fourth Proportional to 346,097.20, 518,857.80 and 146,570.80

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Solution

The fourth proportional to 346,097.20, 518,857.80 and 146,570.80 is: 219,734.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,097.20 : 518,857.80 = 146,570.80 : x
  2. Step 2: Convert to fraction form
    346,097.20/518,857.80 = 146,570.80/x
  3. Step 3: Cross multiply
    346,097.20x = 518,857.80 × 146,570.80
  4. Step 4: Simplify right side
    346,097.20x = 76,049,402,832.24
  5. Step 5: Solve for x
    x = 76,049,402,832.24/346,097.20
  6. Step 6: Final answer
    x = 219,734.23

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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.