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Finding the Fourth Proportional to 308,710.34, 463,148.63 and 158,868.98

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Solution

The fourth proportional to 308,710.34, 463,148.63 and 158,868.98 is: 238,346.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,710.34 : 463,148.63 = 158,868.98 : x
  2. Step 2: Convert to fraction form
    308,710.34/463,148.63 = 158,868.98/x
  3. Step 3: Cross multiply
    308,710.34x = 463,148.63 × 158,868.98
  4. Step 4: Simplify right side
    308,710.34x = 73,579,947,326.41
  5. Step 5: Solve for x
    x = 73,579,947,326.41/308,710.34
  6. Step 6: Final answer
    x = 238,346.24

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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.