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Finding the Fourth Proportional to 476,686.36, 714,992.52 and 224,022.16

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Solution

The fourth proportional to 476,686.36, 714,992.52 and 224,022.16 is: 336,015.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,686.36 : 714,992.52 = 224,022.16 : x
  2. Step 2: Convert to fraction form
    476,686.36/714,992.52 = 224,022.16/x
  3. Step 3: Cross multiply
    476,686.36x = 714,992.52 × 224,022.16
  4. Step 4: Simplify right side
    476,686.36x = 160,174,168,714.24
  5. Step 5: Solve for x
    x = 160,174,168,714.24/476,686.36
  6. Step 6: Final answer
    x = 336,015.84

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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.