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Finding the Fourth Proportional to 507,164.15, 760,820.40 and 152,206.22

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Solution

The fourth proportional to 507,164.15, 760,820.40 and 152,206.22 is: 228,331.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,164.15 : 760,820.40 = 152,206.22 : x
  2. Step 2: Convert to fraction form
    507,164.15/760,820.40 = 152,206.22/x
  3. Step 3: Cross multiply
    507,164.15x = 760,820.40 × 152,206.22
  4. Step 4: Simplify right side
    507,164.15x = 115,801,597,182.89
  5. Step 5: Solve for x
    x = 115,801,597,182.89/507,164.15
  6. Step 6: Final answer
    x = 228,331.59

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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.