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Finding the Fourth Proportional to 475,765.70, 713,677.37 and 191,455.16

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Solution

The fourth proportional to 475,765.70, 713,677.37 and 191,455.16 is: 287,194.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,765.70 : 713,677.37 = 191,455.16 : x
  2. Step 2: Convert to fraction form
    475,765.70/713,677.37 = 191,455.16/x
  3. Step 3: Cross multiply
    475,765.70x = 713,677.37 × 191,455.16
  4. Step 4: Simplify right side
    475,765.70x = 136,637,210,536.07
  5. Step 5: Solve for x
    x = 136,637,210,536.07/475,765.70
  6. Step 6: Final answer
    x = 287,194.33

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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.