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Finding the Fourth Proportional to 435,602, 599,264.52 and 416,939.60

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Solution

The fourth proportional to 435,602, 599,264.52 and 416,939.60 is: 573,590.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,602 : 599,264.52 = 416,939.60 : x
  2. Step 2: Convert to fraction form
    435,602/599,264.52 = 416,939.60/x
  3. Step 3: Cross multiply
    435,602x = 599,264.52 × 416,939.60
  4. Step 4: Simplify right side
    435,602x = 249,857,109,262.99
  5. Step 5: Solve for x
    x = 249,857,109,262.99/435,602
  6. Step 6: Final answer
    x = 573,590.36

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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.