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Finding the Fourth Proportional to 346,647.76, 519,868.32 and 146,964.94

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Solution

The fourth proportional to 346,647.76, 519,868.32 and 146,964.94 is: 220,403.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,647.76 : 519,868.32 = 146,964.94 : x
  2. Step 2: Convert to fraction form
    346,647.76/519,868.32 = 146,964.94/x
  3. Step 3: Cross multiply
    346,647.76x = 519,868.32 × 146,964.94
  4. Step 4: Simplify right side
    346,647.76x = 76,402,416,456.70
  5. Step 5: Solve for x
    x = 76,402,416,456.70/346,647.76
  6. Step 6: Final answer
    x = 220,403.61

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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.