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Finding the Fourth Proportional to 507,313.73, 761,087.24 and 152,334.47

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Solution

The fourth proportional to 507,313.73, 761,087.24 and 152,334.47 is: 228,536.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,313.73 : 761,087.24 = 152,334.47 : x
  2. Step 2: Convert to fraction form
    507,313.73/761,087.24 = 152,334.47/x
  3. Step 3: Cross multiply
    507,313.73x = 761,087.24 × 152,334.47
  4. Step 4: Simplify right side
    507,313.73x = 115,939,823,041.46
  5. Step 5: Solve for x
    x = 115,939,823,041.46/507,313.73
  6. Step 6: Final answer
    x = 228,536.73

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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.