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Finding the Fourth Proportional to 435,578, 599,231.40 and 416,915.60

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Solution

The fourth proportional to 435,578, 599,231.40 and 416,915.60 is: 573,557.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,578 : 599,231.40 = 416,915.60 : x
  2. Step 2: Convert to fraction form
    435,578/599,231.40 = 416,915.60/x
  3. Step 3: Cross multiply
    435,578x = 599,231.40 × 416,915.60
  4. Step 4: Simplify right side
    435,578x = 249,828,918,669.84
  5. Step 5: Solve for x
    x = 249,828,918,669.84/435,578
  6. Step 6: Final answer
    x = 573,557.25

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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.