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Finding the Fourth Proportional to 494,970.74, 742,576.86 and 158,011.46

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Solution

The fourth proportional to 494,970.74, 742,576.86 and 158,011.46 is: 237,055.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,970.74 : 742,576.86 = 158,011.46 : x
  2. Step 2: Convert to fraction form
    494,970.74/742,576.86 = 158,011.46/x
  3. Step 3: Cross multiply
    494,970.74x = 742,576.86 × 158,011.46
  4. Step 4: Simplify right side
    494,970.74x = 117,335,653,810.82
  5. Step 5: Solve for x
    x = 117,335,653,810.82/494,970.74
  6. Step 6: Final answer
    x = 237,055.74

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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.