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Finding the Fourth Proportional to 286,501.92, 429,802.56 and 109,024.44

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Solution

The fourth proportional to 286,501.92, 429,802.56 and 109,024.44 is: 163,555.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,501.92 : 429,802.56 = 109,024.44 : x
  2. Step 2: Convert to fraction form
    286,501.92/429,802.56 = 109,024.44/x
  3. Step 3: Cross multiply
    286,501.92x = 429,802.56 × 109,024.44
  4. Step 4: Simplify right side
    286,501.92x = 46,858,983,414.57
  5. Step 5: Solve for x
    x = 46,858,983,414.57/286,501.92
  6. Step 6: Final answer
    x = 163,555.57

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1.5x scale

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.