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Finding the Fourth Proportional to 314,775.36, 471,988.05 and 127,568.16

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Solution

The fourth proportional to 314,775.36, 471,988.05 and 127,568.16 is: 191,281.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,775.36 : 471,988.05 = 127,568.16 : x
  2. Step 2: Convert to fraction form
    314,775.36/471,988.05 = 127,568.16/x
  3. Step 3: Cross multiply
    314,775.36x = 471,988.05 × 127,568.16
  4. Step 4: Simplify right side
    314,775.36x = 60,210,647,080.49
  5. Step 5: Solve for x
    x = 60,210,647,080.49/314,775.36
  6. Step 6: Final answer
    x = 191,281.32

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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.