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Finding the Fourth Proportional to 282,883.52, 390,389.28 and 155,568.80

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Solution

The fourth proportional to 282,883.52, 390,389.28 and 155,568.80 is: 214,690.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,883.52 : 390,389.28 = 155,568.80 : x
  2. Step 2: Convert to fraction form
    282,883.52/390,389.28 = 155,568.80/x
  3. Step 3: Cross multiply
    282,883.52x = 390,389.28 × 155,568.80
  4. Step 4: Simplify right side
    282,883.52x = 60,732,391,822.46
  5. Step 5: Solve for x
    x = 60,732,391,822.46/282,883.52
  6. Step 6: Final answer
    x = 214,690.46

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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.