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Finding the Fourth Proportional to 282,316.71, 423,101.28 and 207,084.60

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Solution

The fourth proportional to 282,316.71, 423,101.28 and 207,084.60 is: 310,352.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,316.71 : 423,101.28 = 207,084.60 : x
  2. Step 2: Convert to fraction form
    282,316.71/423,101.28 = 207,084.60/x
  3. Step 3: Cross multiply
    282,316.71x = 423,101.28 × 207,084.60
  4. Step 4: Simplify right side
    282,316.71x = 87,617,760,104.86
  5. Step 5: Solve for x
    x = 87,617,760,104.86/282,316.71
  6. Step 6: Final answer
    x = 310,352.72

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.