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Finding the Fourth Proportional to 468,547.10, 646,525.24 and 264,593.97

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Solution

The fourth proportional to 468,547.10, 646,525.24 and 264,593.97 is: 365,100.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,547.10 : 646,525.24 = 264,593.97 : x
  2. Step 2: Convert to fraction form
    468,547.10/646,525.24 = 264,593.97/x
  3. Step 3: Cross multiply
    468,547.10x = 646,525.24 × 264,593.97
  4. Step 4: Simplify right side
    468,547.10x = 171,066,679,956.80
  5. Step 5: Solve for x
    x = 171,066,679,956.80/468,547.10
  6. Step 6: Final answer
    x = 365,100.29

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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.