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Finding the Fourth Proportional to 282,994.74, 390,530.70 and 155,667.60

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Solution

The fourth proportional to 282,994.74, 390,530.70 and 155,667.60 is: 214,820.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,994.74 : 390,530.70 = 155,667.60 : x
  2. Step 2: Convert to fraction form
    282,994.74/390,530.70 = 155,667.60/x
  3. Step 3: Cross multiply
    282,994.74x = 390,530.70 × 155,667.60
  4. Step 4: Simplify right side
    282,994.74x = 60,792,976,795.32
  5. Step 5: Solve for x
    x = 60,792,976,795.32/282,994.74
  6. Step 6: Final answer
    x = 214,820.17

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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.