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Finding the Fourth Proportional to 468,154.83, 646,053.67 and 253,294.89

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Solution

The fourth proportional to 468,154.83, 646,053.67 and 253,294.89 is: 349,546.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,154.83 : 646,053.67 = 253,294.89 : x
  2. Step 2: Convert to fraction form
    468,154.83/646,053.67 = 253,294.89/x
  3. Step 3: Cross multiply
    468,154.83x = 646,053.67 × 253,294.89
  4. Step 4: Simplify right side
    468,154.83x = 163,642,094,804.72
  5. Step 5: Solve for x
    x = 163,642,094,804.72/468,154.83
  6. Step 6: Final answer
    x = 349,546.95

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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.