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Finding the Fourth Proportional to 318,670.47, 478,106.82 and 94,032

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Solution

The fourth proportional to 318,670.47, 478,106.82 and 94,032 is: 141,077.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,670.47 : 478,106.82 = 94,032 : x
  2. Step 2: Convert to fraction form
    318,670.47/478,106.82 = 94,032/x
  3. Step 3: Cross multiply
    318,670.47x = 478,106.82 × 94,032
  4. Step 4: Simplify right side
    318,670.47x = 44,957,340,498.24
  5. Step 5: Solve for x
    x = 44,957,340,498.24/318,670.47
  6. Step 6: Final answer
    x = 141,077.84

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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.