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Finding the Fourth Proportional to 282,629.94, 390,024.79 and 155,302.80

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Solution

The fourth proportional to 282,629.94, 390,024.79 and 155,302.80 is: 214,315.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,629.94 : 390,024.79 = 155,302.80 : x
  2. Step 2: Convert to fraction form
    282,629.94/390,024.79 = 155,302.80/x
  3. Step 3: Cross multiply
    282,629.94x = 390,024.79 × 155,302.80
  4. Step 4: Simplify right side
    282,629.94x = 60,571,941,956.41
  5. Step 5: Solve for x
    x = 60,571,941,956.41/282,629.94
  6. Step 6: Final answer
    x = 214,315.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.