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Finding the Fourth Proportional to 474,908.54, 712,495.98 and 190,798.59

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Solution

The fourth proportional to 474,908.54, 712,495.98 and 190,798.59 is: 286,251.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,908.54 : 712,495.98 = 190,798.59 : x
  2. Step 2: Convert to fraction form
    474,908.54/712,495.98 = 190,798.59/x
  3. Step 3: Cross multiply
    474,908.54x = 712,495.98 × 190,798.59
  4. Step 4: Simplify right side
    474,908.54x = 135,943,228,364.67
  5. Step 5: Solve for x
    x = 135,943,228,364.67/474,908.54
  6. Step 6: Final answer
    x = 286,251.39

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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.