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Finding the Fourth Proportional to 319,522.72, 479,330.16 and 97,924

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Solution

The fourth proportional to 319,522.72, 479,330.16 and 97,924 is: 146,900.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,522.72 : 479,330.16 = 97,924 : x
  2. Step 2: Convert to fraction form
    319,522.72/479,330.16 = 97,924/x
  3. Step 3: Cross multiply
    319,522.72x = 479,330.16 × 97,924
  4. Step 4: Simplify right side
    319,522.72x = 46,937,926,587.84
  5. Step 5: Solve for x
    x = 46,937,926,587.84/319,522.72
  6. Step 6: Final answer
    x = 146,900.12

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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.