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Finding the Fourth Proportional to 448,547.52, 672,599.74 and 164,023.58

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Solution

The fourth proportional to 448,547.52, 672,599.74 and 164,023.58 is: 245,954.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    448,547.52 : 672,599.74 = 164,023.58 : x
  2. Step 2: Convert to fraction form
    448,547.52/672,599.74 = 164,023.58/x
  3. Step 3: Cross multiply
    448,547.52x = 672,599.74 × 164,023.58
  4. Step 4: Simplify right side
    448,547.52x = 110,322,213,898.87
  5. Step 5: Solve for x
    x = 110,322,213,898.87/448,547.52
  6. Step 6: Final answer
    x = 245,954.35

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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.