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Finding the Fourth Proportional to 364,265.79, 502,668.53 and 200,950.96

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Solution

The fourth proportional to 364,265.79, 502,668.53 and 200,950.96 is: 277,302.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,265.79 : 502,668.53 = 200,950.96 : x
  2. Step 2: Convert to fraction form
    364,265.79/502,668.53 = 200,950.96/x
  3. Step 3: Cross multiply
    364,265.79x = 502,668.53 × 200,950.96
  4. Step 4: Simplify right side
    364,265.79x = 101,011,721,403.86
  5. Step 5: Solve for x
    x = 101,011,721,403.86/364,265.79
  6. Step 6: Final answer
    x = 277,302.25

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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.