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Finding the Fourth Proportional to 369,994.64, 510,594.20 and 200,228.76

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Solution

The fourth proportional to 369,994.64, 510,594.20 and 200,228.76 is: 276,316.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,994.64 : 510,594.20 = 200,228.76 : x
  2. Step 2: Convert to fraction form
    369,994.64/510,594.20 = 200,228.76/x
  3. Step 3: Cross multiply
    369,994.64x = 510,594.20 × 200,228.76
  4. Step 4: Simplify right side
    369,994.64x = 102,235,643,529.19
  5. Step 5: Solve for x
    x = 102,235,643,529.19/369,994.64
  6. Step 6: Final answer
    x = 276,316.55

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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.