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Finding the Fourth Proportional to 284,574.81, 426,878.91 and 107,083.35

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Solution

The fourth proportional to 284,574.81, 426,878.91 and 107,083.35 is: 160,631.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,574.81 : 426,878.91 = 107,083.35 : x
  2. Step 2: Convert to fraction form
    284,574.81/426,878.91 = 107,083.35/x
  3. Step 3: Cross multiply
    284,574.81x = 426,878.91 × 107,083.35
  4. Step 4: Simplify right side
    284,574.81x = 45,711,623,727.15
  5. Step 5: Solve for x
    x = 45,711,623,727.15/284,574.81
  6. Step 6: Final answer
    x = 160,631.31

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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.