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Finding the Fourth Proportional to 435,742.80, 653,633.40 and 246,200.40

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Solution

The fourth proportional to 435,742.80, 653,633.40 and 246,200.40 is: 369,311.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,742.80 : 653,633.40 = 246,200.40 : x
  2. Step 2: Convert to fraction form
    435,742.80/653,633.40 = 246,200.40/x
  3. Step 3: Cross multiply
    435,742.80x = 653,633.40 × 246,200.40
  4. Step 4: Simplify right side
    435,742.80x = 160,924,804,533.36
  5. Step 5: Solve for x
    x = 160,924,804,533.36/435,742.80
  6. Step 6: Final answer
    x = 369,311.45

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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.