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Finding the Fourth Proportional to 1,866,798, 2,800,197 and 537,102

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Solution

The fourth proportional to 1,866,798, 2,800,197 and 537,102 is: 805,653

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,866,798 : 2,800,197 = 537,102 : x
  2. Step 2: Convert to fraction form
    1,866,798/2,800,197 = 537,102/x
  3. Step 3: Cross multiply
    1,866,798x = 2,800,197 × 537,102
  4. Step 4: Simplify right side
    1,866,798x = 1,503,991,409,094
  5. Step 5: Solve for x
    x = 1,503,991,409,094/1,866,798
  6. Step 6: Final answer
    x = 805,653

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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.