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Finding the Fourth Proportional to 650,271.42, 975,500.28 and 201,031.38

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Solution

The fourth proportional to 650,271.42, 975,500.28 and 201,031.38 is: 301,575.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    650,271.42 : 975,500.28 = 201,031.38 : x
  2. Step 2: Convert to fraction form
    650,271.42/975,500.28 = 201,031.38/x
  3. Step 3: Cross multiply
    650,271.42x = 975,500.28 × 201,031.38
  4. Step 4: Simplify right side
    650,271.42x = 196,106,167,478.79
  5. Step 5: Solve for x
    x = 196,106,167,478.79/650,271.42
  6. Step 6: Final answer
    x = 301,575.87

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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.