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Finding the Fourth Proportional to 586,060.82, 877,953.71 and 431,906.81

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Solution

The fourth proportional to 586,060.82, 877,953.71 and 431,906.81 is: 647,021.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    586,060.82 : 877,953.71 = 431,906.81 : x
  2. Step 2: Convert to fraction form
    586,060.82/877,953.71 = 431,906.81/x
  3. Step 3: Cross multiply
    586,060.82x = 877,953.71 × 431,906.81
  4. Step 4: Simplify right side
    586,060.82x = 379,194,189,488.42
  5. Step 5: Solve for x
    x = 379,194,189,488.42/586,060.82
  6. Step 6: Final answer
    x = 647,021.91

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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.