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Finding the Fourth Proportional to 434,296.16, 599,280.30 and 252,970.16

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Solution

The fourth proportional to 434,296.16, 599,280.30 and 252,970.16 is: 349,070.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,296.16 : 599,280.30 = 252,970.16 : x
  2. Step 2: Convert to fraction form
    434,296.16/599,280.30 = 252,970.16/x
  3. Step 3: Cross multiply
    434,296.16x = 599,280.30 × 252,970.16
  4. Step 4: Simplify right side
    434,296.16x = 151,600,033,375.85
  5. Step 5: Solve for x
    x = 151,600,033,375.85/434,296.16
  6. Step 6: Final answer
    x = 349,070.63

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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.