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Finding the Fourth Proportional to 507,228.69, 760,959.68 and 152,249.43

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Solution

The fourth proportional to 507,228.69, 760,959.68 and 152,249.43 is: 228,409.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,228.69 : 760,959.68 = 152,249.43 : x
  2. Step 2: Convert to fraction form
    507,228.69/760,959.68 = 152,249.43/x
  3. Step 3: Cross multiply
    507,228.69x = 760,959.68 × 152,249.43
  4. Step 4: Simplify right side
    507,228.69x = 115,855,676,771.74
  5. Step 5: Solve for x
    x = 115,855,676,771.74/507,228.69
  6. Step 6: Final answer
    x = 228,409.16

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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.