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Finding the Fourth Proportional to 508,097.95, 701,124.66 and 293,307.22

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Solution

The fourth proportional to 508,097.95, 701,124.66 and 293,307.22 is: 404,734.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,097.95 : 701,124.66 = 293,307.22 : x
  2. Step 2: Convert to fraction form
    508,097.95/701,124.66 = 293,307.22/x
  3. Step 3: Cross multiply
    508,097.95x = 701,124.66 × 293,307.22
  4. Step 4: Simplify right side
    508,097.95x = 205,644,924,898.05
  5. Step 5: Solve for x
    x = 205,644,924,898.05/508,097.95
  6. Step 6: Final answer
    x = 404,734.81

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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.