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Finding the Fourth Proportional to 284,436.77, 392,309.95 and 198,400.19

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Solution

The fourth proportional to 284,436.77, 392,309.95 and 198,400.19 is: 273,643.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,436.77 : 392,309.95 = 198,400.19 : x
  2. Step 2: Convert to fraction form
    284,436.77/392,309.95 = 198,400.19/x
  3. Step 3: Cross multiply
    284,436.77x = 392,309.95 × 198,400.19
  4. Step 4: Simplify right side
    284,436.77x = 77,834,368,618.89
  5. Step 5: Solve for x
    x = 77,834,368,618.89/284,436.77
  6. Step 6: Final answer
    x = 273,643.84

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.