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Finding the Fourth Proportional to 315,033.52, 434,416.08 and 207,466.24

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Solution

The fourth proportional to 315,033.52, 434,416.08 and 207,466.24 is: 286,085.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,033.52 : 434,416.08 = 207,466.24 : x
  2. Step 2: Convert to fraction form
    315,033.52/434,416.08 = 207,466.24/x
  3. Step 3: Cross multiply
    315,033.52x = 434,416.08 × 207,466.24
  4. Step 4: Simplify right side
    315,033.52x = 90,126,670,713.14
  5. Step 5: Solve for x
    x = 90,126,670,713.14/315,033.52
  6. Step 6: Final answer
    x = 286,085.97

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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.