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Finding the Fourth Proportional to 286,271.01, 431,417.14 and 257,843.66

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Solution

The fourth proportional to 286,271.01, 431,417.14 and 257,843.66 is: 388,576.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,271.01 : 431,417.14 = 257,843.66 : x
  2. Step 2: Convert to fraction form
    286,271.01/431,417.14 = 257,843.66/x
  3. Step 3: Cross multiply
    286,271.01x = 431,417.14 × 257,843.66
  4. Step 4: Simplify right side
    286,271.01x = 111,238,171,562.64
  5. Step 5: Solve for x
    x = 111,238,171,562.64/286,271.01
  6. Step 6: Final answer
    x = 388,576.45

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.