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Finding the Fourth Proportional to 475,811.70, 713,712.69 and 160,266.48

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Solution

The fourth proportional to 475,811.70, 713,712.69 and 160,266.48 is: 240,398.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,811.70 : 713,712.69 = 160,266.48 : x
  2. Step 2: Convert to fraction form
    475,811.70/713,712.69 = 160,266.48/x
  3. Step 3: Cross multiply
    475,811.70x = 713,712.69 × 160,266.48
  4. Step 4: Simplify right side
    475,811.70x = 114,384,220,557.63
  5. Step 5: Solve for x
    x = 114,384,220,557.63/475,811.70
  6. Step 6: Final answer
    x = 240,398.08

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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.