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Finding the Fourth Proportional to 407,032.84, 610,578.42 and 107,510.43

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Solution

The fourth proportional to 407,032.84, 610,578.42 and 107,510.43 is: 161,273.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,032.84 : 610,578.42 = 107,510.43 : x
  2. Step 2: Convert to fraction form
    407,032.84/610,578.42 = 107,510.43/x
  3. Step 3: Cross multiply
    407,032.84x = 610,578.42 × 107,510.43
  4. Step 4: Simplify right side
    407,032.84x = 65,643,548,482.92
  5. Step 5: Solve for x
    x = 65,643,548,482.92/407,032.84
  6. Step 6: Final answer
    x = 161,273.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.