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Finding the Fourth Proportional to 292,864.81, 438,795.71 and 159,838.41

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Solution

The fourth proportional to 292,864.81, 438,795.71 and 159,838.41 is: 239,483.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,864.81 : 438,795.71 = 159,838.41 : x
  2. Step 2: Convert to fraction form
    292,864.81/438,795.71 = 159,838.41/x
  3. Step 3: Cross multiply
    292,864.81x = 438,795.71 × 159,838.41
  4. Step 4: Simplify right side
    292,864.81x = 70,136,408,601.22
  5. Step 5: Solve for x
    x = 70,136,408,601.22/292,864.81
  6. Step 6: Final answer
    x = 239,483.91

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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.