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Finding the Fourth Proportional to 314,817.37, 472,293.28 and 101,597.42

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Solution

The fourth proportional to 314,817.37, 472,293.28 and 101,597.42 is: 152,417.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,817.37 : 472,293.28 = 101,597.42 : x
  2. Step 2: Convert to fraction form
    314,817.37/472,293.28 = 101,597.42/x
  3. Step 3: Cross multiply
    314,817.37x = 472,293.28 × 101,597.42
  4. Step 4: Simplify right side
    314,817.37x = 47,983,780,039.07
  5. Step 5: Solve for x
    x = 47,983,780,039.07/314,817.37
  6. Step 6: Final answer
    x = 152,417.83

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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.