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Finding the Fourth Proportional to 456,253.93, 684,972.51 and 305,416.03

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Solution

The fourth proportional to 456,253.93, 684,972.51 and 305,416.03 is: 458,520.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,253.93 : 684,972.51 = 305,416.03 : x
  2. Step 2: Convert to fraction form
    456,253.93/684,972.51 = 305,416.03/x
  3. Step 3: Cross multiply
    456,253.93x = 684,972.51 × 305,416.03
  4. Step 4: Simplify right side
    456,253.93x = 209,201,584,663.34
  5. Step 5: Solve for x
    x = 209,201,584,663.34/456,253.93
  6. Step 6: Final answer
    x = 458,520.07

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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.