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Finding the Fourth Proportional to 714,091.95, 985,446.81 and 408,174.87

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Solution

The fourth proportional to 714,091.95, 985,446.81 and 408,174.87 is: 563,281.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    714,091.95 : 985,446.81 = 408,174.87 : x
  2. Step 2: Convert to fraction form
    714,091.95/985,446.81 = 408,174.87/x
  3. Step 3: Cross multiply
    714,091.95x = 985,446.81 × 408,174.87
  4. Step 4: Simplify right side
    714,091.95x = 402,234,623,563.67
  5. Step 5: Solve for x
    x = 402,234,623,563.67/714,091.95
  6. Step 6: Final answer
    x = 563,281.27

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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.