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Finding the Fourth Proportional to 586,164.94, 808,907.61 and 331,510.66

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Solution

The fourth proportional to 586,164.94, 808,907.61 and 331,510.66 is: 457,484.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    586,164.94 : 808,907.61 = 331,510.66 : x
  2. Step 2: Convert to fraction form
    586,164.94/808,907.61 = 331,510.66/x
  3. Step 3: Cross multiply
    586,164.94x = 808,907.61 × 331,510.66
  4. Step 4: Simplify right side
    586,164.94x = 268,161,494,891.02
  5. Step 5: Solve for x
    x = 268,161,494,891.02/586,164.94
  6. Step 6: Final answer
    x = 457,484.71

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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.