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Finding the Fourth Proportional to 475,348.37, 713,112.46 and 191,061.05

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Solution

The fourth proportional to 475,348.37, 713,112.46 and 191,061.05 is: 286,627.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,348.37 : 713,112.46 = 191,061.05 : x
  2. Step 2: Convert to fraction form
    475,348.37/713,112.46 = 191,061.05/x
  3. Step 3: Cross multiply
    475,348.37x = 713,112.46 × 191,061.05
  4. Step 4: Simplify right side
    475,348.37x = 136,248,011,810.12
  5. Step 5: Solve for x
    x = 136,248,011,810.12/475,348.37
  6. Step 6: Final answer
    x = 286,627.71

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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.