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Finding the Fourth Proportional to 476,076.58, 713,641.80 and 238,694.74

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Solution

The fourth proportional to 476,076.58, 713,641.80 and 238,694.74 is: 357,804.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,076.58 : 713,641.80 = 238,694.74 : x
  2. Step 2: Convert to fraction form
    476,076.58/713,641.80 = 238,694.74/x
  3. Step 3: Cross multiply
    476,076.58x = 713,641.80 × 238,694.74
  4. Step 4: Simplify right side
    476,076.58x = 170,342,543,904.13
  5. Step 5: Solve for x
    x = 170,342,543,904.13/476,076.58
  6. Step 6: Final answer
    x = 357,804.92

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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.