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Finding the Fourth Proportional to 284,410.89, 426,686.52 and 84,730.50

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Solution

The fourth proportional to 284,410.89, 426,686.52 and 84,730.50 is: 127,116.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,410.89 : 426,686.52 = 84,730.50 : x
  2. Step 2: Convert to fraction form
    284,410.89/426,686.52 = 84,730.50/x
  3. Step 3: Cross multiply
    284,410.89x = 426,686.52 × 84,730.50
  4. Step 4: Simplify right side
    284,410.89x = 36,153,362,182.86
  5. Step 5: Solve for x
    x = 36,153,362,182.86/284,410.89
  6. Step 6: Final answer
    x = 127,116.66

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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.