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Finding the Fourth Proportional to 413,113.32, 619,483.06 and 146,880.92

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Solution

The fourth proportional to 413,113.32, 619,483.06 and 146,880.92 is: 220,254.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,113.32 : 619,483.06 = 146,880.92 : x
  2. Step 2: Convert to fraction form
    413,113.32/619,483.06 = 146,880.92/x
  3. Step 3: Cross multiply
    413,113.32x = 619,483.06 × 146,880.92
  4. Step 4: Simplify right side
    413,113.32x = 90,990,241,777.22
  5. Step 5: Solve for x
    x = 90,990,241,777.22/413,113.32
  6. Step 6: Final answer
    x = 220,254.92

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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.