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Finding the Fourth Proportional to 319,201.34, 478,812.02 and 119,483.58

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Solution

The fourth proportional to 319,201.34, 478,812.02 and 119,483.58 is: 179,229.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,201.34 : 478,812.02 = 119,483.58 : x
  2. Step 2: Convert to fraction form
    319,201.34/478,812.02 = 119,483.58/x
  3. Step 3: Cross multiply
    319,201.34x = 478,812.02 × 119,483.58
  4. Step 4: Simplify right side
    319,201.34x = 57,210,174,296.63
  5. Step 5: Solve for x
    x = 57,210,174,296.63/319,201.34
  6. Step 6: Final answer
    x = 179,229.12

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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.