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Finding the Fourth Proportional to 773,088.50, 1,066,978.77 and 471,457.46

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Solution

The fourth proportional to 773,088.50, 1,066,978.77 and 471,457.46 is: 650,682.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    773,088.50 : 1,066,978.77 = 471,457.46 : x
  2. Step 2: Convert to fraction form
    773,088.50/1,066,978.77 = 471,457.46/x
  3. Step 3: Cross multiply
    773,088.50x = 1,066,978.77 × 471,457.46
  4. Step 4: Simplify right side
    773,088.50x = 503,035,100,778.12
  5. Step 5: Solve for x
    x = 503,035,100,778.12/773,088.50
  6. Step 6: Final answer
    x = 650,682.43

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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.