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Finding the Fourth Proportional to 822,174.16, 1,134,783.36 and 499,816

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Solution

The fourth proportional to 822,174.16, 1,134,783.36 and 499,816 is: 689,857.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    822,174.16 : 1,134,783.36 = 499,816 : x
  2. Step 2: Convert to fraction form
    822,174.16/1,134,783.36 = 499,816/x
  3. Step 3: Cross multiply
    822,174.16x = 1,134,783.36 × 499,816
  4. Step 4: Simplify right side
    822,174.16x = 567,182,879,861.76
  5. Step 5: Solve for x
    x = 567,182,879,861.76/822,174.16
  6. Step 6: Final answer
    x = 689,857.34

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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.