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Finding the Fourth Proportional to 773,089, 1,066,979.46 and 471,457.96

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Solution

The fourth proportional to 773,089, 1,066,979.46 and 471,457.96 is: 650,683.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    773,089 : 1,066,979.46 = 471,457.96 : x
  2. Step 2: Convert to fraction form
    773,089/1,066,979.46 = 471,457.96/x
  3. Step 3: Cross multiply
    773,089x = 1,066,979.46 × 471,457.96
  4. Step 4: Simplify right side
    773,089x = 503,035,959,573.50
  5. Step 5: Solve for x
    x = 503,035,959,573.50/773,089
  6. Step 6: Final answer
    x = 650,683.12

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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.