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Finding the Fourth Proportional to 1,997,688, 2,996,532 and 596,856

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Solution

The fourth proportional to 1,997,688, 2,996,532 and 596,856 is: 895,284

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,997,688 : 2,996,532 = 596,856 : x
  2. Step 2: Convert to fraction form
    1,997,688/2,996,532 = 596,856/x
  3. Step 3: Cross multiply
    1,997,688x = 2,996,532 × 596,856
  4. Step 4: Simplify right side
    1,997,688x = 1,788,498,103,392
  5. Step 5: Solve for x
    x = 1,788,498,103,392/1,997,688
  6. Step 6: Final answer
    x = 895,284

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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.