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Finding the Fourth Proportional to 1,984,903.80, 2,975,897.70 and 786,233.40

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Solution

The fourth proportional to 1,984,903.80, 2,975,897.70 and 786,233.40 is: 1,178,772.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,984,903.80 : 2,975,897.70 = 786,233.40 : x
  2. Step 2: Convert to fraction form
    1,984,903.80/2,975,897.70 = 786,233.40/x
  3. Step 3: Cross multiply
    1,984,903.80x = 2,975,897.70 × 786,233.40
  4. Step 4: Simplify right side
    1,984,903.80x = 2,339,750,166,723.18
  5. Step 5: Solve for x
    x = 2,339,750,166,723.18/1,984,903.80
  6. Step 6: Final answer
    x = 1,178,772.58

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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.