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Finding the Fourth Proportional to 586,223.68, 808,942.80 and 344,515.36

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Solution

The fourth proportional to 586,223.68, 808,942.80 and 344,515.36 is: 475,404.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    586,223.68 : 808,942.80 = 344,515.36 : x
  2. Step 2: Convert to fraction form
    586,223.68/808,942.80 = 344,515.36/x
  3. Step 3: Cross multiply
    586,223.68x = 808,942.80 × 344,515.36
  4. Step 4: Simplify right side
    586,223.68x = 278,693,219,961.41
  5. Step 5: Solve for x
    x = 278,693,219,961.41/586,223.68
  6. Step 6: Final answer
    x = 475,404.23

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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.