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Finding the Fourth Proportional to 296,457.40, 444,977.70 and 146,866.60

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Solution

The fourth proportional to 296,457.40, 444,977.70 and 146,866.60 is: 220,444.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,457.40 : 444,977.70 = 146,866.60 : x
  2. Step 2: Convert to fraction form
    296,457.40/444,977.70 = 146,866.60/x
  3. Step 3: Cross multiply
    296,457.40x = 444,977.70 × 146,866.60
  4. Step 4: Simplify right side
    296,457.40x = 65,352,361,874.82
  5. Step 5: Solve for x
    x = 65,352,361,874.82/296,457.40
  6. Step 6: Final answer
    x = 220,444.36

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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.