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Finding the Fourth Proportional to 364,423.32, 502,904.70 and 203,274.12

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Solution

The fourth proportional to 364,423.32, 502,904.70 and 203,274.12 is: 280,518.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,423.32 : 502,904.70 = 203,274.12 : x
  2. Step 2: Convert to fraction form
    364,423.32/502,904.70 = 203,274.12/x
  3. Step 3: Cross multiply
    364,423.32x = 502,904.70 × 203,274.12
  4. Step 4: Simplify right side
    364,423.32x = 102,227,510,336.36
  5. Step 5: Solve for x
    x = 102,227,510,336.36/364,423.32
  6. Step 6: Final answer
    x = 280,518.57

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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.