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Finding the Fourth Proportional to 284,683.77, 426,880.41 and 95,075.83

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Solution

The fourth proportional to 284,683.77, 426,880.41 and 95,075.83 is: 142,565.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,683.77 : 426,880.41 = 95,075.83 : x
  2. Step 2: Convert to fraction form
    284,683.77/426,880.41 = 95,075.83/x
  3. Step 3: Cross multiply
    284,683.77x = 426,880.41 × 95,075.83
  4. Step 4: Simplify right side
    284,683.77x = 40,586,009,291.49
  5. Step 5: Solve for x
    x = 40,586,009,291.49/284,683.77
  6. Step 6: Final answer
    x = 142,565.24

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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.