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Finding the Fourth Proportional to 314,785.68, 472,039.56 and 90,094.92

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Solution

The fourth proportional to 314,785.68, 472,039.56 and 90,094.92 is: 135,102.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,785.68 : 472,039.56 = 90,094.92 : x
  2. Step 2: Convert to fraction form
    314,785.68/472,039.56 = 90,094.92/x
  3. Step 3: Cross multiply
    314,785.68x = 472,039.56 × 90,094.92
  4. Step 4: Simplify right side
    314,785.68x = 42,528,366,395.04
  5. Step 5: Solve for x
    x = 42,528,366,395.04/314,785.68
  6. Step 6: Final answer
    x = 135,102.61

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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.