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Finding the Fourth Proportional to 821,326.86, 1,232,763.14 and 416,809.50

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Solution

The fourth proportional to 821,326.86, 1,232,763.14 and 416,809.50 is: 625,606.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    821,326.86 : 1,232,763.14 = 416,809.50 : x
  2. Step 2: Convert to fraction form
    821,326.86/1,232,763.14 = 416,809.50/x
  3. Step 3: Cross multiply
    821,326.86x = 1,232,763.14 × 416,809.50
  4. Step 4: Simplify right side
    821,326.86x = 513,827,388,001.83
  5. Step 5: Solve for x
    x = 513,827,388,001.83/821,326.86
  6. Step 6: Final answer
    x = 625,606.46

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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.