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Finding the Fourth Proportional to 502,827.30, 754,277.40 and 302,716.80

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Solution

The fourth proportional to 502,827.30, 754,277.40 and 302,716.80 is: 454,097.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,827.30 : 754,277.40 = 302,716.80 : x
  2. Step 2: Convert to fraction form
    502,827.30/754,277.40 = 302,716.80/x
  3. Step 3: Cross multiply
    502,827.30x = 754,277.40 × 302,716.80
  4. Step 4: Simplify right side
    502,827.30x = 228,332,440,840.32
  5. Step 5: Solve for x
    x = 228,332,440,840.32/502,827.30
  6. Step 6: Final answer
    x = 454,097.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.