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Finding the Fourth Proportional to 714,083.95, 985,435.77 and 408,166.87

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Solution

The fourth proportional to 714,083.95, 985,435.77 and 408,166.87 is: 563,270.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    714,083.95 : 985,435.77 = 408,166.87 : x
  2. Step 2: Convert to fraction form
    714,083.95/985,435.77 = 408,166.87/x
  3. Step 3: Cross multiply
    714,083.95x = 985,435.77 × 408,166.87
  4. Step 4: Simplify right side
    714,083.95x = 402,222,228,899.76
  5. Step 5: Solve for x
    x = 402,222,228,899.76/714,083.95
  6. Step 6: Final answer
    x = 563,270.23

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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.