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Finding the Fourth Proportional to 747,669, 1,121,503.50 and 222,357

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Solution

The fourth proportional to 747,669, 1,121,503.50 and 222,357 is: 333,535.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    747,669 : 1,121,503.50 = 222,357 : x
  2. Step 2: Convert to fraction form
    747,669/1,121,503.50 = 222,357/x
  3. Step 3: Cross multiply
    747,669x = 1,121,503.50 × 222,357
  4. Step 4: Simplify right side
    747,669x = 249,374,153,749.50
  5. Step 5: Solve for x
    x = 249,374,153,749.50/747,669
  6. Step 6: Final answer
    x = 333,535.50

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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.