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Finding the Fourth Proportional to 910,780, 1,366,344.96 and 412,144

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Solution

The fourth proportional to 910,780, 1,366,344.96 and 412,144 is: 618,295.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    910,780 : 1,366,344.96 = 412,144 : x
  2. Step 2: Convert to fraction form
    910,780/1,366,344.96 = 412,144/x
  3. Step 3: Cross multiply
    910,780x = 1,366,344.96 × 412,144
  4. Step 4: Simplify right side
    910,780x = 563,130,877,194.24
  5. Step 5: Solve for x
    x = 563,130,877,194.24/910,780
  6. Step 6: Final answer
    x = 618,295.17

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.