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Finding the Fourth Proportional to 314,775.70, 472,255.48 and 101,538.90

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Solution

The fourth proportional to 314,775.70, 472,255.48 and 101,538.90 is: 152,338.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,775.70 : 472,255.48 = 101,538.90 : x
  2. Step 2: Convert to fraction form
    314,775.70/472,255.48 = 101,538.90/x
  3. Step 3: Cross multiply
    314,775.70x = 472,255.48 × 101,538.90
  4. Step 4: Simplify right side
    314,775.70x = 47,952,301,958.17
  5. Step 5: Solve for x
    x = 47,952,301,958.17/314,775.70
  6. Step 6: Final answer
    x = 152,338.00

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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.