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Finding the Fourth Proportional to 364,349.28, 502,802.90 and 203,214.77

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Solution

The fourth proportional to 364,349.28, 502,802.90 and 203,214.77 is: 280,436.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,349.28 : 502,802.90 = 203,214.77 : x
  2. Step 2: Convert to fraction form
    364,349.28/502,802.90 = 203,214.77/x
  3. Step 3: Cross multiply
    364,349.28x = 502,802.90 × 203,214.77
  4. Step 4: Simplify right side
    364,349.28x = 102,176,975,678.83
  5. Step 5: Solve for x
    x = 102,176,975,678.83/364,349.28
  6. Step 6: Final answer
    x = 280,436.88

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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.