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Finding the Fourth Proportional to 832,504, 1,248,712.16 and 233,506.56

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Solution

The fourth proportional to 832,504, 1,248,712.16 and 233,506.56 is: 350,247.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    832,504 : 1,248,712.16 = 233,506.56 : x
  2. Step 2: Convert to fraction form
    832,504/1,248,712.16 = 233,506.56/x
  3. Step 3: Cross multiply
    832,504x = 1,248,712.16 × 233,506.56
  4. Step 4: Simplify right side
    832,504x = 291,582,480,911.77
  5. Step 5: Solve for x
    x = 291,582,480,911.77/832,504
  6. Step 6: Final answer
    x = 350,247.54

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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.