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Finding the Fourth Proportional to 475,615.86, 713,533.59 and 160,065.06

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Solution

The fourth proportional to 475,615.86, 713,533.59 and 160,065.06 is: 240,134.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,615.86 : 713,533.59 = 160,065.06 : x
  2. Step 2: Convert to fraction form
    475,615.86/713,533.59 = 160,065.06/x
  3. Step 3: Cross multiply
    475,615.86x = 713,533.59 × 160,065.06
  4. Step 4: Simplify right side
    475,615.86x = 114,211,796,895.37
  5. Step 5: Solve for x
    x = 114,211,796,895.37/475,615.86
  6. Step 6: Final answer
    x = 240,134.54

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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.