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Finding the Fourth Proportional to 507,322.74, 761,100.74 and 152,343.48

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Solution

The fourth proportional to 507,322.74, 761,100.74 and 152,343.48 is: 228,550.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,322.74 : 761,100.74 = 152,343.48 : x
  2. Step 2: Convert to fraction form
    507,322.74/761,100.74 = 152,343.48/x
  3. Step 3: Cross multiply
    507,322.74x = 761,100.74 × 152,343.48
  4. Step 4: Simplify right side
    507,322.74x = 115,948,734,600.46
  5. Step 5: Solve for x
    x = 115,948,734,600.46/507,322.74
  6. Step 6: Final answer
    x = 228,550.24

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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.