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Finding the Fourth Proportional to 306,570.47, 459,972.75 and 119,596.55

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Solution

The fourth proportional to 306,570.47, 459,972.75 and 119,596.55 is: 179,440.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,570.47 : 459,972.75 = 119,596.55 : x
  2. Step 2: Convert to fraction form
    306,570.47/459,972.75 = 119,596.55/x
  3. Step 3: Cross multiply
    306,570.47x = 459,972.75 × 119,596.55
  4. Step 4: Simplify right side
    306,570.47x = 55,011,153,994.01
  5. Step 5: Solve for x
    x = 55,011,153,994.01/306,570.47
  6. Step 6: Final answer
    x = 179,440.49

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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.