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Finding the Fourth Proportional to 476,045.80, 713,570.46 and 160,393.64

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Solution

The fourth proportional to 476,045.80, 713,570.46 and 160,393.64 is: 240,422.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,045.80 : 713,570.46 = 160,393.64 : x
  2. Step 2: Convert to fraction form
    476,045.80/713,570.46 = 160,393.64/x
  3. Step 3: Cross multiply
    476,045.80x = 713,570.46 × 160,393.64
  4. Step 4: Simplify right side
    476,045.80x = 114,452,163,475.87
  5. Step 5: Solve for x
    x = 114,452,163,475.87/476,045.80
  6. Step 6: Final answer
    x = 240,422.59

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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.