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Finding the Fourth Proportional to 507,184.08, 760,025.52 and 207,302.64

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Solution

The fourth proportional to 507,184.08, 760,025.52 and 207,302.64 is: 310,647.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,184.08 : 760,025.52 = 207,302.64 : x
  2. Step 2: Convert to fraction form
    507,184.08/760,025.52 = 207,302.64/x
  3. Step 3: Cross multiply
    507,184.08x = 760,025.52 × 207,302.64
  4. Step 4: Simplify right side
    507,184.08x = 157,555,296,763.37
  5. Step 5: Solve for x
    x = 157,555,296,763.37/507,184.08
  6. Step 6: Final answer
    x = 310,647.17

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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.