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Finding the Fourth Proportional to 447,323.40, 670,547.70 and 400,084.20

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Solution

The fourth proportional to 447,323.40, 670,547.70 and 400,084.20 is: 599,735.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,323.40 : 670,547.70 = 400,084.20 : x
  2. Step 2: Convert to fraction form
    447,323.40/670,547.70 = 400,084.20/x
  3. Step 3: Cross multiply
    447,323.40x = 670,547.70 × 400,084.20
  4. Step 4: Simplify right side
    447,323.40x = 268,275,540,116.34
  5. Step 5: Solve for x
    x = 268,275,540,116.34/447,323.40
  6. Step 6: Final answer
    x = 599,735.09

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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.