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Finding the Fourth Proportional to 448,082.90, 672,124.35 and 410,758.10

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Solution

The fourth proportional to 448,082.90, 672,124.35 and 410,758.10 is: 616,137.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    448,082.90 : 672,124.35 = 410,758.10 : x
  2. Step 2: Convert to fraction form
    448,082.90/672,124.35 = 410,758.10/x
  3. Step 3: Cross multiply
    448,082.90x = 672,124.35 × 410,758.10
  4. Step 4: Simplify right side
    448,082.90x = 276,080,520,969.74
  5. Step 5: Solve for x
    x = 276,080,520,969.74/448,082.90
  6. Step 6: Final answer
    x = 616,137.15

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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.