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Finding the Fourth Proportional to 284,492.52, 426,738.76 and 84,953.02

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Solution

The fourth proportional to 284,492.52, 426,738.76 and 84,953.02 is: 127,429.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,492.52 : 426,738.76 = 84,953.02 : x
  2. Step 2: Convert to fraction form
    284,492.52/426,738.76 = 84,953.02/x
  3. Step 3: Cross multiply
    284,492.52x = 426,738.76 × 84,953.02
  4. Step 4: Simplify right side
    284,492.52x = 36,252,746,413.06
  5. Step 5: Solve for x
    x = 36,252,746,413.06/284,492.52
  6. Step 6: Final answer
    x = 127,429.52

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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.