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Finding the Fourth Proportional to 661,699.36, 912,756 and 416,293.76

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Solution

The fourth proportional to 661,699.36, 912,756 and 416,293.76 is: 574,240.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    661,699.36 : 912,756 = 416,293.76 : x
  2. Step 2: Convert to fraction form
    661,699.36/912,756 = 416,293.76/x
  3. Step 3: Cross multiply
    661,699.36x = 912,756 × 416,293.76
  4. Step 4: Simplify right side
    661,699.36x = 379,974,627,202.56
  5. Step 5: Solve for x
    x = 379,974,627,202.56/661,699.36
  6. Step 6: Final answer
    x = 574,240.58

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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.