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Finding the Fourth Proportional to 397,522.88, 596,284.32 and 161,031.63

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Solution

The fourth proportional to 397,522.88, 596,284.32 and 161,031.63 is: 241,547.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,522.88 : 596,284.32 = 161,031.63 : x
  2. Step 2: Convert to fraction form
    397,522.88/596,284.32 = 161,031.63/x
  3. Step 3: Cross multiply
    397,522.88x = 596,284.32 × 161,031.63
  4. Step 4: Simplify right side
    397,522.88x = 96,020,635,993.04
  5. Step 5: Solve for x
    x = 96,020,635,993.04/397,522.88
  6. Step 6: Final answer
    x = 241,547.45

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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.