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Finding the Fourth Proportional to 468,307.59, 646,266.38 and 253,447.53

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Solution

The fourth proportional to 468,307.59, 646,266.38 and 253,447.53 is: 349,758.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,307.59 : 646,266.38 = 253,447.53 : x
  2. Step 2: Convert to fraction form
    468,307.59/646,266.38 = 253,447.53/x
  3. Step 3: Cross multiply
    468,307.59x = 646,266.38 × 253,447.53
  4. Step 4: Simplify right side
    468,307.59x = 163,794,616,465.80
  5. Step 5: Solve for x
    x = 163,794,616,465.80/468,307.59
  6. Step 6: Final answer
    x = 349,758.62

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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.