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Finding the Fourth Proportional to 609,547.80, 911,729.70 and 546,821.40

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Solution

The fourth proportional to 609,547.80, 911,729.70 and 546,821.40 is: 817,906.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    609,547.80 : 911,729.70 = 546,821.40 : x
  2. Step 2: Convert to fraction form
    609,547.80/911,729.70 = 546,821.40/x
  3. Step 3: Cross multiply
    609,547.80x = 911,729.70 × 546,821.40
  4. Step 4: Simplify right side
    609,547.80x = 498,553,310,975.58
  5. Step 5: Solve for x
    x = 498,553,310,975.58/609,547.80
  6. Step 6: Final answer
    x = 817,906.83

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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.