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Finding the Fourth Proportional to 595,121.44, 821,030.16 and 380,205.76

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Solution

The fourth proportional to 595,121.44, 821,030.16 and 380,205.76 is: 524,532.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    595,121.44 : 821,030.16 = 380,205.76 : x
  2. Step 2: Convert to fraction form
    595,121.44/821,030.16 = 380,205.76/x
  3. Step 3: Cross multiply
    595,121.44x = 821,030.16 × 380,205.76
  4. Step 4: Simplify right side
    595,121.44x = 312,160,395,965.72
  5. Step 5: Solve for x
    x = 312,160,395,965.72/595,121.44
  6. Step 6: Final answer
    x = 524,532.26

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.