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Finding the Fourth Proportional to 346,907.70, 478,557.26 and 232,191.14

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Solution

The fourth proportional to 346,907.70, 478,557.26 and 232,191.14 is: 320,306.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,907.70 : 478,557.26 = 232,191.14 : x
  2. Step 2: Convert to fraction form
    346,907.70/478,557.26 = 232,191.14/x
  3. Step 3: Cross multiply
    346,907.70x = 478,557.26 × 232,191.14
  4. Step 4: Simplify right side
    346,907.70x = 111,116,752,200.93
  5. Step 5: Solve for x
    x = 111,116,752,200.93/346,907.70
  6. Step 6: Final answer
    x = 320,306.39

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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.