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Finding the Fourth Proportional to 319,065.93, 478,784.94 and 119,526.48

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Solution

The fourth proportional to 319,065.93, 478,784.94 and 119,526.48 is: 179,359.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,065.93 : 478,784.94 = 119,526.48 : x
  2. Step 2: Convert to fraction form
    319,065.93/478,784.94 = 119,526.48/x
  3. Step 3: Cross multiply
    319,065.93x = 478,784.94 × 119,526.48
  4. Step 4: Simplify right side
    319,065.93x = 57,227,478,555.21
  5. Step 5: Solve for x
    x = 57,227,478,555.21/319,065.93
  6. Step 6: Final answer
    x = 179,359.42

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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.