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Finding the Fourth Proportional to 978,033.10, 1,467,049.65 and 417,124.30

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Solution

The fourth proportional to 978,033.10, 1,467,049.65 and 417,124.30 is: 625,686.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    978,033.10 : 1,467,049.65 = 417,124.30 : x
  2. Step 2: Convert to fraction form
    978,033.10/1,467,049.65 = 417,124.30/x
  3. Step 3: Cross multiply
    978,033.10x = 1,467,049.65 × 417,124.30
  4. Step 4: Simplify right side
    978,033.10x = 611,942,058,321.50
  5. Step 5: Solve for x
    x = 611,942,058,321.50/978,033.10
  6. Step 6: Final answer
    x = 625,686.45

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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.