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Finding the Fourth Proportional to 413,535.40, 620,303.10 and 368,434.60

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Solution

The fourth proportional to 413,535.40, 620,303.10 and 368,434.60 is: 552,651.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,535.40 : 620,303.10 = 368,434.60 : x
  2. Step 2: Convert to fraction form
    413,535.40/620,303.10 = 368,434.60/x
  3. Step 3: Cross multiply
    413,535.40x = 620,303.10 × 368,434.60
  4. Step 4: Simplify right side
    413,535.40x = 228,541,124,527.26
  5. Step 5: Solve for x
    x = 228,541,124,527.26/413,535.40
  6. Step 6: Final answer
    x = 552,651.90

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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.