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Finding the Fourth Proportional to 507,223.60, 760,295.88 and 191,546.16

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Solution

The fourth proportional to 507,223.60, 760,295.88 and 191,546.16 is: 287,115.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,223.60 : 760,295.88 = 191,546.16 : x
  2. Step 2: Convert to fraction form
    507,223.60/760,295.88 = 191,546.16/x
  3. Step 3: Cross multiply
    507,223.60x = 760,295.88 × 191,546.16
  4. Step 4: Simplify right side
    507,223.60x = 145,631,756,277.82
  5. Step 5: Solve for x
    x = 145,631,756,277.82/507,223.60
  6. Step 6: Final answer
    x = 287,115.50

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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.