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Finding the Fourth Proportional to 477,955.40, 716,933.10 and 411,470.60

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Solution

The fourth proportional to 477,955.40, 716,933.10 and 411,470.60 is: 617,205.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,955.40 : 716,933.10 = 411,470.60 : x
  2. Step 2: Convert to fraction form
    477,955.40/716,933.10 = 411,470.60/x
  3. Step 3: Cross multiply
    477,955.40x = 716,933.10 × 411,470.60
  4. Step 4: Simplify right side
    477,955.40x = 294,996,892,816.86
  5. Step 5: Solve for x
    x = 294,996,892,816.86/477,955.40
  6. Step 6: Final answer
    x = 617,205.90

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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.