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Finding the Fourth Proportional to 3,670,509.30, 5,505,763.95 and 974,829.30

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Solution

The fourth proportional to 3,670,509.30, 5,505,763.95 and 974,829.30 is: 1,462,243.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,670,509.30 : 5,505,763.95 = 974,829.30 : x
  2. Step 2: Convert to fraction form
    3,670,509.30/5,505,763.95 = 974,829.30/x
  3. Step 3: Cross multiply
    3,670,509.30x = 5,505,763.95 × 974,829.30
  4. Step 4: Simplify right side
    3,670,509.30x = 5,367,180,017,343.74
  5. Step 5: Solve for x
    x = 5,367,180,017,343.74/3,670,509.30
  6. Step 6: Final answer
    x = 1,462,243.95

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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.