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Finding the Fourth Proportional to 435,762.86, 653,681.94 and 120,219.76

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Solution

The fourth proportional to 435,762.86, 653,681.94 and 120,219.76 is: 180,340.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,762.86 : 653,681.94 = 120,219.76 : x
  2. Step 2: Convert to fraction form
    435,762.86/653,681.94 = 120,219.76/x
  3. Step 3: Cross multiply
    435,762.86x = 653,681.94 × 120,219.76
  4. Step 4: Simplify right side
    435,762.86x = 78,585,485,642.59
  5. Step 5: Solve for x
    x = 78,585,485,642.59/435,762.86
  6. Step 6: Final answer
    x = 180,340.03

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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.