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Finding the Fourth Proportional to 822,172.16, 1,134,780.60 and 499,814

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Solution

The fourth proportional to 822,172.16, 1,134,780.60 and 499,814 is: 689,854.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    822,172.16 : 1,134,780.60 = 499,814 : x
  2. Step 2: Convert to fraction form
    822,172.16/1,134,780.60 = 499,814/x
  3. Step 3: Cross multiply
    822,172.16x = 1,134,780.60 × 499,814
  4. Step 4: Simplify right side
    822,172.16x = 567,179,230,808.40
  5. Step 5: Solve for x
    x = 567,179,230,808.40/822,172.16
  6. Step 6: Final answer
    x = 689,854.58

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.