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Finding the Fourth Proportional to 515,896.66, 711,938.88 and 286,454.44

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Solution

The fourth proportional to 515,896.66, 711,938.88 and 286,454.44 is: 395,307.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,896.66 : 711,938.88 = 286,454.44 : x
  2. Step 2: Convert to fraction form
    515,896.66/711,938.88 = 286,454.44/x
  3. Step 3: Cross multiply
    515,896.66x = 711,938.88 × 286,454.44
  4. Step 4: Simplify right side
    515,896.66x = 203,938,053,184.63
  5. Step 5: Solve for x
    x = 203,938,053,184.63/515,896.66
  6. Step 6: Final answer
    x = 395,307.95

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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.