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Finding the Fourth Proportional to 698,595, 964,061.10 and 380,643

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Solution

The fourth proportional to 698,595, 964,061.10 and 380,643 is: 525,287.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    698,595 : 964,061.10 = 380,643 : x
  2. Step 2: Convert to fraction form
    698,595/964,061.10 = 380,643/x
  3. Step 3: Cross multiply
    698,595x = 964,061.10 × 380,643
  4. Step 4: Simplify right side
    698,595x = 366,963,109,287.30
  5. Step 5: Solve for x
    x = 366,963,109,287.30/698,595
  6. Step 6: Final answer
    x = 525,287.34

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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.