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Finding the Fourth Proportional to 476,950.20, 716,807.70 and 416,124.60

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Solution

The fourth proportional to 476,950.20, 716,807.70 and 416,124.60 is: 625,393.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,950.20 : 716,807.70 = 416,124.60 : x
  2. Step 2: Convert to fraction form
    476,950.20/716,807.70 = 416,124.60/x
  3. Step 3: Cross multiply
    476,950.20x = 716,807.70 × 416,124.60
  4. Step 4: Simplify right side
    476,950.20x = 298,281,317,439.42
  5. Step 5: Solve for x
    x = 298,281,317,439.42/476,950.20
  6. Step 6: Final answer
    x = 625,393.00

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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.