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Finding the Fourth Proportional to 435,576, 599,228.64 and 416,913.60

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Solution

The fourth proportional to 435,576, 599,228.64 and 416,913.60 is: 573,554.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,576 : 599,228.64 = 416,913.60 : x
  2. Step 2: Convert to fraction form
    435,576/599,228.64 = 416,913.60/x
  3. Step 3: Cross multiply
    435,576x = 599,228.64 × 416,913.60
  4. Step 4: Simplify right side
    435,576x = 249,826,569,525.50
  5. Step 5: Solve for x
    x = 249,826,569,525.50/435,576
  6. Step 6: Final answer
    x = 573,554.49

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.