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Finding the Fourth Proportional to 507,009.16, 760,468.38 and 152,102.44

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Solution

The fourth proportional to 507,009.16, 760,468.38 and 152,102.44 is: 228,140.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,009.16 : 760,468.38 = 152,102.44 : x
  2. Step 2: Convert to fraction form
    507,009.16/760,468.38 = 152,102.44/x
  3. Step 3: Cross multiply
    507,009.16x = 760,468.38 × 152,102.44
  4. Step 4: Simplify right side
    507,009.16x = 115,669,096,140.85
  5. Step 5: Solve for x
    x = 115,669,096,140.85/507,009.16
  6. Step 6: Final answer
    x = 228,140.05

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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.