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Finding the Fourth Proportional to 682,617, 1,023,925.50 and 183,981

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Solution

The fourth proportional to 682,617, 1,023,925.50 and 183,981 is: 275,971.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    682,617 : 1,023,925.50 = 183,981 : x
  2. Step 2: Convert to fraction form
    682,617/1,023,925.50 = 183,981/x
  3. Step 3: Cross multiply
    682,617x = 1,023,925.50 × 183,981
  4. Step 4: Simplify right side
    682,617x = 188,382,837,415.50
  5. Step 5: Solve for x
    x = 188,382,837,415.50/682,617
  6. Step 6: Final answer
    x = 275,971.50

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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.