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Finding the Fourth Proportional to 364,054.62, 502,397.72 and 202,919.90

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Solution

The fourth proportional to 364,054.62, 502,397.72 and 202,919.90 is: 280,030.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,054.62 : 502,397.72 = 202,919.90 : x
  2. Step 2: Convert to fraction form
    364,054.62/502,397.72 = 202,919.90/x
  3. Step 3: Cross multiply
    364,054.62x = 502,397.72 × 202,919.90
  4. Step 4: Simplify right side
    364,054.62x = 101,946,495,102.63
  5. Step 5: Solve for x
    x = 101,946,495,102.63/364,054.62
  6. Step 6: Final answer
    x = 280,030.77

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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.