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Finding the Fourth Proportional to 647,477.20, 971,215.80 and 332,549.20

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Solution

The fourth proportional to 647,477.20, 971,215.80 and 332,549.20 is: 498,823.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,477.20 : 971,215.80 = 332,549.20 : x
  2. Step 2: Convert to fraction form
    647,477.20/971,215.80 = 332,549.20/x
  3. Step 3: Cross multiply
    647,477.20x = 971,215.80 × 332,549.20
  4. Step 4: Simplify right side
    647,477.20x = 322,977,037,317.36
  5. Step 5: Solve for x
    x = 322,977,037,317.36/647,477.20
  6. Step 6: Final answer
    x = 498,823.80

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1.5x scale

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.