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Finding the Fourth Proportional to 456,092.37, 684,221.92 and 152,457.80

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Solution

The fourth proportional to 456,092.37, 684,221.92 and 152,457.80 is: 228,714.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,092.37 : 684,221.92 = 152,457.80 : x
  2. Step 2: Convert to fraction form
    456,092.37/684,221.92 = 152,457.80/x
  3. Step 3: Cross multiply
    456,092.37x = 684,221.92 × 152,457.80
  4. Step 4: Simplify right side
    456,092.37x = 104,314,964,832.72
  5. Step 5: Solve for x
    x = 104,314,964,832.72/456,092.37
  6. Step 6: Final answer
    x = 228,714.56

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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.