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Finding the Fourth Proportional to 507,301.92, 761,069.52 and 152,322.66

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Solution

The fourth proportional to 507,301.92, 761,069.52 and 152,322.66 is: 228,519.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,301.92 : 761,069.52 = 152,322.66 : x
  2. Step 2: Convert to fraction form
    507,301.92/761,069.52 = 152,322.66/x
  3. Step 3: Cross multiply
    507,301.92x = 761,069.52 × 152,322.66
  4. Step 4: Simplify right side
    507,301.92x = 115,928,133,731.32
  5. Step 5: Solve for x
    x = 115,928,133,731.32/507,301.92
  6. Step 6: Final answer
    x = 228,519.01

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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.