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Finding the Fourth Proportional to 364,582.19, 503,048.31 and 209,503.53

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Solution

The fourth proportional to 364,582.19, 503,048.31 and 209,503.53 is: 289,071.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,582.19 : 503,048.31 = 209,503.53 : x
  2. Step 2: Convert to fraction form
    364,582.19/503,048.31 = 209,503.53/x
  3. Step 3: Cross multiply
    364,582.19x = 503,048.31 × 209,503.53
  4. Step 4: Simplify right side
    364,582.19x = 105,390,396,705.53
  5. Step 5: Solve for x
    x = 105,390,396,705.53/364,582.19
  6. Step 6: Final answer
    x = 289,071.71

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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.