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Finding the Fourth Proportional to 456,308.55, 684,579.47 and 175,750.47

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Solution

The fourth proportional to 456,308.55, 684,579.47 and 175,750.47 is: 263,670.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,308.55 : 684,579.47 = 175,750.47 : x
  2. Step 2: Convert to fraction form
    456,308.55/684,579.47 = 175,750.47/x
  3. Step 3: Cross multiply
    456,308.55x = 684,579.47 × 175,750.47
  4. Step 4: Simplify right side
    456,308.55x = 120,315,162,726.10
  5. Step 5: Solve for x
    x = 120,315,162,726.10/456,308.55
  6. Step 6: Final answer
    x = 263,670.63

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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.