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Finding the Fourth Proportional to 470,880.52, 706,407.66 and 155,359.24

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Solution

The fourth proportional to 470,880.52, 706,407.66 and 155,359.24 is: 233,067.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,880.52 : 706,407.66 = 155,359.24 : x
  2. Step 2: Convert to fraction form
    470,880.52/706,407.66 = 155,359.24/x
  3. Step 3: Cross multiply
    470,880.52x = 706,407.66 × 155,359.24
  4. Step 4: Simplify right side
    470,880.52x = 109,746,957,187.78
  5. Step 5: Solve for x
    x = 109,746,957,187.78/470,880.52
  6. Step 6: Final answer
    x = 233,067.52

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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.