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Finding the Fourth Proportional to 282,846.16, 390,329.16 and 155,530

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Solution

The fourth proportional to 282,846.16, 390,329.16 and 155,530 is: 214,632.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,846.16 : 390,329.16 = 155,530 : x
  2. Step 2: Convert to fraction form
    282,846.16/390,329.16 = 155,530/x
  3. Step 3: Cross multiply
    282,846.16x = 390,329.16 × 155,530
  4. Step 4: Simplify right side
    282,846.16x = 60,707,894,254.80
  5. Step 5: Solve for x
    x = 60,707,894,254.80/282,846.16
  6. Step 6: Final answer
    x = 214,632.20

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