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Finding the Fourth Proportional to 779,600, 1,169,400.04 and 188,624

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Solution

The fourth proportional to 779,600, 1,169,400.04 and 188,624 is: 282,936.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    779,600 : 1,169,400.04 = 188,624 : x
  2. Step 2: Convert to fraction form
    779,600/1,169,400.04 = 188,624/x
  3. Step 3: Cross multiply
    779,600x = 1,169,400.04 × 188,624
  4. Step 4: Simplify right side
    779,600x = 220,576,913,144.96
  5. Step 5: Solve for x
    x = 220,576,913,144.96/779,600
  6. Step 6: Final answer
    x = 282,936.01

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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.