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Finding the Fourth Proportional to 411,470.40, 616,039.20 and 364,814.40

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Solution

The fourth proportional to 411,470.40, 616,039.20 and 364,814.40 is: 546,187.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,470.40 : 616,039.20 = 364,814.40 : x
  2. Step 2: Convert to fraction form
    411,470.40/616,039.20 = 364,814.40/x
  3. Step 3: Cross multiply
    411,470.40x = 616,039.20 × 364,814.40
  4. Step 4: Simplify right side
    411,470.40x = 224,739,971,124.48
  5. Step 5: Solve for x
    x = 224,739,971,124.48/411,470.40
  6. Step 6: Final answer
    x = 546,187.46

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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.