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Finding the Fourth Proportional to 581,534.79, 873,298.62 and 315,814.29

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Solution

The fourth proportional to 581,534.79, 873,298.62 and 315,814.29 is: 474,262.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    581,534.79 : 873,298.62 = 315,814.29 : x
  2. Step 2: Convert to fraction form
    581,534.79/873,298.62 = 315,814.29/x
  3. Step 3: Cross multiply
    581,534.79x = 873,298.62 × 315,814.29
  4. Step 4: Simplify right side
    581,534.79x = 275,800,183,633.28
  5. Step 5: Solve for x
    x = 275,800,183,633.28/581,534.79
  6. Step 6: Final answer
    x = 474,262.57

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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.