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Finding the Fourth Proportional to 364,271.40, 546,407.10 and 206,807.40

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Solution

The fourth proportional to 364,271.40, 546,407.10 and 206,807.40 is: 310,211.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,271.40 : 546,407.10 = 206,807.40 : x
  2. Step 2: Convert to fraction form
    364,271.40/546,407.10 = 206,807.40/x
  3. Step 3: Cross multiply
    364,271.40x = 546,407.10 × 206,807.40
  4. Step 4: Simplify right side
    364,271.40x = 113,001,031,692.54
  5. Step 5: Solve for x
    x = 113,001,031,692.54/364,271.40
  6. Step 6: Final answer
    x = 310,211.10

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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.