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Finding the Fourth Proportional to 369,981.93, 510,575.05 and 200,216.06

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Solution

The fourth proportional to 369,981.93, 510,575.05 and 200,216.06 is: 276,298.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,981.93 : 510,575.05 = 200,216.06 : x
  2. Step 2: Convert to fraction form
    369,981.93/510,575.05 = 200,216.06/x
  3. Step 3: Cross multiply
    369,981.93x = 510,575.05 × 200,216.06
  4. Step 4: Simplify right side
    369,981.93x = 102,225,322,292.43
  5. Step 5: Solve for x
    x = 102,225,322,292.43/369,981.93
  6. Step 6: Final answer
    x = 276,298.15

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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.