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Finding the Fourth Proportional to 591,411, 816,147.18 and 323,139

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Solution

The fourth proportional to 591,411, 816,147.18 and 323,139 is: 445,931.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    591,411 : 816,147.18 = 323,139 : x
  2. Step 2: Convert to fraction form
    591,411/816,147.18 = 323,139/x
  3. Step 3: Cross multiply
    591,411x = 816,147.18 × 323,139
  4. Step 4: Simplify right side
    591,411x = 263,728,983,598.02
  5. Step 5: Solve for x
    x = 263,728,983,598.02/591,411
  6. Step 6: Final answer
    x = 445,931.82

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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.