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Finding the Fourth Proportional to 346,432.80, 519,260.40 and 146,719.20

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Solution

The fourth proportional to 346,432.80, 519,260.40 and 146,719.20 is: 219,914.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,432.80 : 519,260.40 = 146,719.20 : x
  2. Step 2: Convert to fraction form
    346,432.80/519,260.40 = 146,719.20/x
  3. Step 3: Cross multiply
    346,432.80x = 519,260.40 × 146,719.20
  4. Step 4: Simplify right side
    346,432.80x = 76,185,470,479.68
  5. Step 5: Solve for x
    x = 76,185,470,479.68/346,432.80
  6. Step 6: Final answer
    x = 219,914.14

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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.