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Finding the Fourth Proportional to 468,172.26, 646,008.45 and 284,315.22

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Solution

The fourth proportional to 468,172.26, 646,008.45 and 284,315.22 is: 392,312.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,172.26 : 646,008.45 = 284,315.22 : x
  2. Step 2: Convert to fraction form
    468,172.26/646,008.45 = 284,315.22/x
  3. Step 3: Cross multiply
    468,172.26x = 646,008.45 × 284,315.22
  4. Step 4: Simplify right side
    468,172.26x = 183,670,034,583.61
  5. Step 5: Solve for x
    x = 183,670,034,583.61/468,172.26
  6. Step 6: Final answer
    x = 392,312.94

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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.