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Finding the Fourth Proportional to 282,619.84, 390,024.96 and 155,300

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Solution

The fourth proportional to 282,619.84, 390,024.96 and 155,300 is: 214,319.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,619.84 : 390,024.96 = 155,300 : x
  2. Step 2: Convert to fraction form
    282,619.84/390,024.96 = 155,300/x
  3. Step 3: Cross multiply
    282,619.84x = 390,024.96 × 155,300
  4. Step 4: Simplify right side
    282,619.84x = 60,570,876,288
  5. Step 5: Solve for x
    x = 60,570,876,288/282,619.84
  6. Step 6: Final answer
    x = 214,319.26

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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.