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Finding the Fourth Proportional to 904,284, 1,247,970.24 and 501,876

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Solution

The fourth proportional to 904,284, 1,247,970.24 and 501,876 is: 692,621.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    904,284 : 1,247,970.24 = 501,876 : x
  2. Step 2: Convert to fraction form
    904,284/1,247,970.24 = 501,876/x
  3. Step 3: Cross multiply
    904,284x = 1,247,970.24 × 501,876
  4. Step 4: Simplify right side
    904,284x = 626,326,312,170.24
  5. Step 5: Solve for x
    x = 626,326,312,170.24/904,284
  6. Step 6: Final answer
    x = 692,621.25

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.