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Finding the Fourth Proportional to 341,030, 470,615.16 and 188,082.32

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Solution

The fourth proportional to 341,030, 470,615.16 and 188,082.32 is: 259,550.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,030 : 470,615.16 = 188,082.32 : x
  2. Step 2: Convert to fraction form
    341,030/470,615.16 = 188,082.32/x
  3. Step 3: Cross multiply
    341,030x = 470,615.16 × 188,082.32
  4. Step 4: Simplify right side
    341,030x = 88,514,391,119.97
  5. Step 5: Solve for x
    x = 88,514,391,119.97/341,030
  6. Step 6: Final answer
    x = 259,550.16

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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.