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Finding the Fourth Proportional to 312,038.82, 430,615.68 and 191,180.34

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Solution

The fourth proportional to 312,038.82, 430,615.68 and 191,180.34 is: 263,830.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,038.82 : 430,615.68 = 191,180.34 : x
  2. Step 2: Convert to fraction form
    312,038.82/430,615.68 = 191,180.34/x
  3. Step 3: Cross multiply
    312,038.82x = 430,615.68 × 191,180.34
  4. Step 4: Simplify right side
    312,038.82x = 82,325,252,111.73
  5. Step 5: Solve for x
    x = 82,325,252,111.73/312,038.82
  6. Step 6: Final answer
    x = 263,830.16

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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.