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Finding the Fourth Proportional to 499,643.97, 749,358.46 and 158,114.40

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Solution

The fourth proportional to 499,643.97, 749,358.46 and 158,114.40 is: 237,137.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,643.97 : 749,358.46 = 158,114.40 : x
  2. Step 2: Convert to fraction form
    499,643.97/749,358.46 = 158,114.40/x
  3. Step 3: Cross multiply
    499,643.97x = 749,358.46 × 158,114.40
  4. Step 4: Simplify right side
    499,643.97x = 118,484,363,287.82
  5. Step 5: Solve for x
    x = 118,484,363,287.82/499,643.97
  6. Step 6: Final answer
    x = 237,137.58

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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.