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Finding the Fourth Proportional to 286,510.80, 428,891.40 and 223,525.20

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Solution

The fourth proportional to 286,510.80, 428,891.40 and 223,525.20 is: 334,605.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,510.80 : 428,891.40 = 223,525.20 : x
  2. Step 2: Convert to fraction form
    286,510.80/428,891.40 = 223,525.20/x
  3. Step 3: Cross multiply
    286,510.80x = 428,891.40 × 223,525.20
  4. Step 4: Simplify right side
    286,510.80x = 95,868,035,963.28
  5. Step 5: Solve for x
    x = 95,868,035,963.28/286,510.80
  6. Step 6: Final answer
    x = 334,605.31

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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.