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Finding the Fourth Proportional to 468,538.48, 646,582.22 and 253,678.50

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Solution

The fourth proportional to 468,538.48, 646,582.22 and 253,678.50 is: 350,075.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,538.48 : 646,582.22 = 253,678.50 : x
  2. Step 2: Convert to fraction form
    468,538.48/646,582.22 = 253,678.50/x
  3. Step 3: Cross multiply
    468,538.48x = 646,582.22 × 253,678.50
  4. Step 4: Simplify right side
    468,538.48x = 164,024,007,696.27
  5. Step 5: Solve for x
    x = 164,024,007,696.27/468,538.48
  6. Step 6: Final answer
    x = 350,075.85

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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.