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Finding the Fourth Proportional to 654,341.71, 902,982.66 and 363,950.50

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Solution

The fourth proportional to 654,341.71, 902,982.66 and 363,950.50 is: 502,246.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    654,341.71 : 902,982.66 = 363,950.50 : x
  2. Step 2: Convert to fraction form
    654,341.71/902,982.66 = 363,950.50/x
  3. Step 3: Cross multiply
    654,341.71x = 902,982.66 × 363,950.50
  4. Step 4: Simplify right side
    654,341.71x = 328,640,990,598.33
  5. Step 5: Solve for x
    x = 328,640,990,598.33/654,341.71
  6. Step 6: Final answer
    x = 502,246.74

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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.