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Finding the Fourth Proportional to 476,282.72, 714,356.76 and 160,698.08

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Solution

The fourth proportional to 476,282.72, 714,356.76 and 160,698.08 is: 241,024.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,282.72 : 714,356.76 = 160,698.08 : x
  2. Step 2: Convert to fraction form
    476,282.72/714,356.76 = 160,698.08/x
  3. Step 3: Cross multiply
    476,282.72x = 714,356.76 × 160,698.08
  4. Step 4: Simplify right side
    476,282.72x = 114,795,759,767.02
  5. Step 5: Solve for x
    x = 114,795,759,767.02/476,282.72
  6. Step 6: Final answer
    x = 241,024.41

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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.