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Finding the Fourth Proportional to 456,462, 684,525.08 and 156,857.52

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Solution

The fourth proportional to 456,462, 684,525.08 and 156,857.52 is: 235,228.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,462 : 684,525.08 = 156,857.52 : x
  2. Step 2: Convert to fraction form
    456,462/684,525.08 = 156,857.52/x
  3. Step 3: Cross multiply
    456,462x = 684,525.08 × 156,857.52
  4. Step 4: Simplify right side
    456,462x = 107,372,906,426.60
  5. Step 5: Solve for x
    x = 107,372,906,426.60/456,462
  6. Step 6: Final answer
    x = 235,228.58

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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.