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Finding the Fourth Proportional to 1,357,790, 2,036,685 and 471,326

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Solution

The fourth proportional to 1,357,790, 2,036,685 and 471,326 is: 706,989

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,357,790 : 2,036,685 = 471,326 : x
  2. Step 2: Convert to fraction form
    1,357,790/2,036,685 = 471,326/x
  3. Step 3: Cross multiply
    1,357,790x = 2,036,685 × 471,326
  4. Step 4: Simplify right side
    1,357,790x = 959,942,594,310
  5. Step 5: Solve for x
    x = 959,942,594,310/1,357,790
  6. Step 6: Final answer
    x = 706,989

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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.