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Finding the Fourth Proportional to 926,932, 1,279,166.16 and 502,996

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Solution

The fourth proportional to 926,932, 1,279,166.16 and 502,996 is: 694,134.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    926,932 : 1,279,166.16 = 502,996 : x
  2. Step 2: Convert to fraction form
    926,932/1,279,166.16 = 502,996/x
  3. Step 3: Cross multiply
    926,932x = 1,279,166.16 × 502,996
  4. Step 4: Simplify right side
    926,932x = 643,415,461,815.36
  5. Step 5: Solve for x
    x = 643,415,461,815.36/926,932
  6. Step 6: Final answer
    x = 694,134.48

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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.