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Finding the Fourth Proportional to 1,684,608, 2,527,349.76 and 502,656

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Solution

The fourth proportional to 1,684,608, 2,527,349.76 and 502,656 is: 754,114.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,684,608 : 2,527,349.76 = 502,656 : x
  2. Step 2: Convert to fraction form
    1,684,608/2,527,349.76 = 502,656/x
  3. Step 3: Cross multiply
    1,684,608x = 2,527,349.76 × 502,656
  4. Step 4: Simplify right side
    1,684,608x = 1,270,387,520,962.56
  5. Step 5: Solve for x
    x = 1,270,387,520,962.56/1,684,608
  6. Step 6: Final answer
    x = 754,114.62

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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.