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Finding the Fourth Proportional to 314,646.37, 472,037.90 and 114,966.45

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Solution

The fourth proportional to 314,646.37, 472,037.90 and 114,966.45 is: 172,474.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,646.37 : 472,037.90 = 114,966.45 : x
  2. Step 2: Convert to fraction form
    314,646.37/472,037.90 = 114,966.45/x
  3. Step 3: Cross multiply
    314,646.37x = 472,037.90 × 114,966.45
  4. Step 4: Simplify right side
    314,646.37x = 54,268,521,053.62
  5. Step 5: Solve for x
    x = 54,268,521,053.62/314,646.37
  6. Step 6: Final answer
    x = 172,474.65

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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.