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Finding the Fourth Proportional to 469,615.80, 703,386.90 and 282,300.60

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Solution

The fourth proportional to 469,615.80, 703,386.90 and 282,300.60 is: 422,827.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,615.80 : 703,386.90 = 282,300.60 : x
  2. Step 2: Convert to fraction form
    469,615.80/703,386.90 = 282,300.60/x
  3. Step 3: Cross multiply
    469,615.80x = 703,386.90 × 282,300.60
  4. Step 4: Simplify right side
    469,615.80x = 198,566,543,902.14
  5. Step 5: Solve for x
    x = 198,566,543,902.14/469,615.80
  6. Step 6: Final answer
    x = 422,827.65

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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.