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Finding the Fourth Proportional to 456,801.70, 684,925.08 and 228,832.18

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Solution

The fourth proportional to 456,801.70, 684,925.08 and 228,832.18 is: 343,109.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,801.70 : 684,925.08 = 228,832.18 : x
  2. Step 2: Convert to fraction form
    456,801.70/684,925.08 = 228,832.18/x
  3. Step 3: Cross multiply
    456,801.70x = 684,925.08 × 228,832.18
  4. Step 4: Simplify right side
    456,801.70x = 156,732,899,193.07
  5. Step 5: Solve for x
    x = 156,732,899,193.07/456,801.70
  6. Step 6: Final answer
    x = 343,109.27

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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.