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Finding the Fourth Proportional to 1,684,849, 2,527,273.50 and 502,897

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Solution

The fourth proportional to 1,684,849, 2,527,273.50 and 502,897 is: 754,345.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,684,849 : 2,527,273.50 = 502,897 : x
  2. Step 2: Convert to fraction form
    1,684,849/2,527,273.50 = 502,897/x
  3. Step 3: Cross multiply
    1,684,849x = 2,527,273.50 × 502,897
  4. Step 4: Simplify right side
    1,684,849x = 1,270,958,261,329.50
  5. Step 5: Solve for x
    x = 1,270,958,261,329.50/1,684,849
  6. Step 6: Final answer
    x = 754,345.50

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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.