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Finding the Fourth Proportional to 319,032.42, 478,631.70 and 119,368.42

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Solution

The fourth proportional to 319,032.42, 478,631.70 and 119,368.42 is: 179,083.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,032.42 : 478,631.70 = 119,368.42 : x
  2. Step 2: Convert to fraction form
    319,032.42/478,631.70 = 119,368.42/x
  3. Step 3: Cross multiply
    319,032.42x = 478,631.70 × 119,368.42
  4. Step 4: Simplify right side
    319,032.42x = 57,133,509,790.91
  5. Step 5: Solve for x
    x = 57,133,509,790.91/319,032.42
  6. Step 6: Final answer
    x = 179,083.71

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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.