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Finding the Fourth Proportional to 319,156.83, 478,668.92 and 94,464.56

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Solution

The fourth proportional to 319,156.83, 478,668.92 and 94,464.56 is: 141,677.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,156.83 : 478,668.92 = 94,464.56 : x
  2. Step 2: Convert to fraction form
    319,156.83/478,668.92 = 94,464.56/x
  3. Step 3: Cross multiply
    319,156.83x = 478,668.92 × 94,464.56
  4. Step 4: Simplify right side
    319,156.83x = 45,217,249,637.82
  5. Step 5: Solve for x
    x = 45,217,249,637.82/319,156.83
  6. Step 6: Final answer
    x = 141,677.21

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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.