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Finding the Fourth Proportional to 539,153.40, 808,730.10 and 414,737.40

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Solution

The fourth proportional to 539,153.40, 808,730.10 and 414,737.40 is: 622,106.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    539,153.40 : 808,730.10 = 414,737.40 : x
  2. Step 2: Convert to fraction form
    539,153.40/808,730.10 = 414,737.40/x
  3. Step 3: Cross multiply
    539,153.40x = 808,730.10 × 414,737.40
  4. Step 4: Simplify right side
    539,153.40x = 335,410,618,975.74
  5. Step 5: Solve for x
    x = 335,410,618,975.74/539,153.40
  6. Step 6: Final answer
    x = 622,106.10

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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.