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Finding the Fourth Proportional to 703,986.81, 971,635.74 and 417,664.77

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Solution

The fourth proportional to 703,986.81, 971,635.74 and 417,664.77 is: 576,456.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    703,986.81 : 971,635.74 = 417,664.77 : x
  2. Step 2: Convert to fraction form
    703,986.81/971,635.74 = 417,664.77/x
  3. Step 3: Cross multiply
    703,986.81x = 971,635.74 × 417,664.77
  4. Step 4: Simplify right side
    703,986.81x = 405,818,010,924.38
  5. Step 5: Solve for x
    x = 405,818,010,924.38/703,986.81
  6. Step 6: Final answer
    x = 576,456.84

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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.