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Finding the Fourth Proportional to 578,498, 867,762.36 and 184,514

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Solution

The fourth proportional to 578,498, 867,762.36 and 184,514 is: 276,775.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    578,498 : 867,762.36 = 184,514 : x
  2. Step 2: Convert to fraction form
    578,498/867,762.36 = 184,514/x
  3. Step 3: Cross multiply
    578,498x = 867,762.36 × 184,514
  4. Step 4: Simplify right side
    578,498x = 160,114,304,093.04
  5. Step 5: Solve for x
    x = 160,114,304,093.04/578,498
  6. Step 6: Final answer
    x = 276,775.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.