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Finding the Fourth Proportional to 499,700.18, 689,653.05 and 281,953.66

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Solution

The fourth proportional to 499,700.18, 689,653.05 and 281,953.66 is: 389,133.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,700.18 : 689,653.05 = 281,953.66 : x
  2. Step 2: Convert to fraction form
    499,700.18/689,653.05 = 281,953.66/x
  3. Step 3: Cross multiply
    499,700.18x = 689,653.05 × 281,953.66
  4. Step 4: Simplify right side
    499,700.18x = 194,450,201,577.66
  5. Step 5: Solve for x
    x = 194,450,201,577.66/499,700.18
  6. Step 6: Final answer
    x = 389,133.74

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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.