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Finding the Fourth Proportional to 435,847.32, 653,722.02 and 120,349.08

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Solution

The fourth proportional to 435,847.32, 653,722.02 and 120,349.08 is: 180,510.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,847.32 : 653,722.02 = 120,349.08 : x
  2. Step 2: Convert to fraction form
    435,847.32/653,722.02 = 120,349.08/x
  3. Step 3: Cross multiply
    435,847.32x = 653,722.02 × 120,349.08
  4. Step 4: Simplify right side
    435,847.32x = 78,674,843,682.74
  5. Step 5: Solve for x
    x = 78,674,843,682.74/435,847.32
  6. Step 6: Final answer
    x = 180,510.10

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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.