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Finding the Fourth Proportional to 319,274.48, 478,894.44 and 97,658.48

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Solution

The fourth proportional to 319,274.48, 478,894.44 and 97,658.48 is: 146,482.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,274.48 : 478,894.44 = 97,658.48 : x
  2. Step 2: Convert to fraction form
    319,274.48/478,894.44 = 97,658.48/x
  3. Step 3: Cross multiply
    319,274.48x = 478,894.44 × 97,658.48
  4. Step 4: Simplify right side
    319,274.48x = 46,768,103,090.85
  5. Step 5: Solve for x
    x = 46,768,103,090.85/319,274.48
  6. Step 6: Final answer
    x = 146,482.43

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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.