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Finding the Fourth Proportional to 455,957.87, 683,950.75 and 156,434.25

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Solution

The fourth proportional to 455,957.87, 683,950.75 and 156,434.25 is: 234,656.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,957.87 : 683,950.75 = 156,434.25 : x
  2. Step 2: Convert to fraction form
    455,957.87/683,950.75 = 156,434.25/x
  3. Step 3: Cross multiply
    455,957.87x = 683,950.75 × 156,434.25
  4. Step 4: Simplify right side
    455,957.87x = 106,993,322,613.19
  5. Step 5: Solve for x
    x = 106,993,322,613.19/455,957.87
  6. Step 6: Final answer
    x = 234,656.16

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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.