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Finding the Fourth Proportional to 312,419.64, 468,532.48 and 112,714

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Solution

The fourth proportional to 312,419.64, 468,532.48 and 112,714 is: 169,036.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,419.64 : 468,532.48 = 112,714 : x
  2. Step 2: Convert to fraction form
    312,419.64/468,532.48 = 112,714/x
  3. Step 3: Cross multiply
    312,419.64x = 468,532.48 × 112,714
  4. Step 4: Simplify right side
    312,419.64x = 52,810,169,950.72
  5. Step 5: Solve for x
    x = 52,810,169,950.72/312,419.64
  6. Step 6: Final answer
    x = 169,036.01

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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.