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Finding the Fourth Proportional to 614,429.24, 847,914.12 and 356,355.95

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Solution

The fourth proportional to 614,429.24, 847,914.12 and 356,355.95 is: 491,772.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    614,429.24 : 847,914.12 = 356,355.95 : x
  2. Step 2: Convert to fraction form
    614,429.24/847,914.12 = 356,355.95/x
  3. Step 3: Cross multiply
    614,429.24x = 847,914.12 × 356,355.95
  4. Step 4: Simplify right side
    614,429.24x = 302,159,237,511.44
  5. Step 5: Solve for x
    x = 302,159,237,511.44/614,429.24
  6. Step 6: Final answer
    x = 491,772.23

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.