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Finding the Fourth Proportional to 308,726.64, 462,823.74 and 119,319.89

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Solution

The fourth proportional to 308,726.64, 462,823.74 and 119,319.89 is: 178,876.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,726.64 : 462,823.74 = 119,319.89 : x
  2. Step 2: Convert to fraction form
    308,726.64/462,823.74 = 119,319.89/x
  3. Step 3: Cross multiply
    308,726.64x = 462,823.74 × 119,319.89
  4. Step 4: Simplify right side
    308,726.64x = 55,224,075,432.07
  5. Step 5: Solve for x
    x = 55,224,075,432.07/308,726.64
  6. Step 6: Final answer
    x = 178,876.94

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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.