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Finding the Fourth Proportional to 1,688,266, 2,532,399 and 506,314

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Solution

The fourth proportional to 1,688,266, 2,532,399 and 506,314 is: 759,471

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,688,266 : 2,532,399 = 506,314 : x
  2. Step 2: Convert to fraction form
    1,688,266/2,532,399 = 506,314/x
  3. Step 3: Cross multiply
    1,688,266x = 2,532,399 × 506,314
  4. Step 4: Simplify right side
    1,688,266x = 1,282,189,067,286
  5. Step 5: Solve for x
    x = 1,282,189,067,286/1,688,266
  6. Step 6: Final answer
    x = 759,471

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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.