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Finding the Fourth Proportional to 539,169, 744,053.24 and 300,705

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Solution

The fourth proportional to 539,169, 744,053.24 and 300,705 is: 414,972.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    539,169 : 744,053.24 = 300,705 : x
  2. Step 2: Convert to fraction form
    539,169/744,053.24 = 300,705/x
  3. Step 3: Cross multiply
    539,169x = 744,053.24 × 300,705
  4. Step 4: Simplify right side
    539,169x = 223,740,529,534.20
  5. Step 5: Solve for x
    x = 223,740,529,534.20/539,169
  6. Step 6: Final answer
    x = 414,972.91

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