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Finding the Fourth Proportional to 468,643.63, 646,728.56 and 253,783.93

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Solution

The fourth proportional to 468,643.63, 646,728.56 and 253,783.93 is: 350,222.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,643.63 : 646,728.56 = 253,783.93 : x
  2. Step 2: Convert to fraction form
    468,643.63/646,728.56 = 253,783.93/x
  3. Step 3: Cross multiply
    468,643.63x = 646,728.56 × 253,783.93
  4. Step 4: Simplify right side
    468,643.63x = 164,129,315,600.04
  5. Step 5: Solve for x
    x = 164,129,315,600.04/468,643.63
  6. Step 6: Final answer
    x = 350,222.01

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.