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Finding the Fourth Proportional to 476,400.69, 713,686.95 and 295,951.32

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Solution

The fourth proportional to 476,400.69, 713,686.95 and 295,951.32 is: 443,359.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,400.69 : 713,686.95 = 295,951.32 : x
  2. Step 2: Convert to fraction form
    476,400.69/713,686.95 = 295,951.32/x
  3. Step 3: Cross multiply
    476,400.69x = 713,686.95 × 295,951.32
  4. Step 4: Simplify right side
    476,400.69x = 211,216,594,919.27
  5. Step 5: Solve for x
    x = 211,216,594,919.27/476,400.69
  6. Step 6: Final answer
    x = 443,359.13

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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.