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Finding the Fourth Proportional to 282,822.84, 390,292.02 and 155,497.32

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Solution

The fourth proportional to 282,822.84, 390,292.02 and 155,497.32 is: 214,584.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,822.84 : 390,292.02 = 155,497.32 : x
  2. Step 2: Convert to fraction form
    282,822.84/390,292.02 = 155,497.32/x
  3. Step 3: Cross multiply
    282,822.84x = 390,292.02 × 155,497.32
  4. Step 4: Simplify right side
    282,822.84x = 60,689,363,127.39
  5. Step 5: Solve for x
    x = 60,689,363,127.39/282,822.84
  6. Step 6: Final answer
    x = 214,584.38

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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.