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Finding the Fourth Proportional to 531,838.33, 734,055.24 and 338,206.80

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Solution

The fourth proportional to 531,838.33, 734,055.24 and 338,206.80 is: 466,800.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,838.33 : 734,055.24 = 338,206.80 : x
  2. Step 2: Convert to fraction form
    531,838.33/734,055.24 = 338,206.80/x
  3. Step 3: Cross multiply
    531,838.33x = 734,055.24 × 338,206.80
  4. Step 4: Simplify right side
    531,838.33x = 248,262,473,743.63
  5. Step 5: Solve for x
    x = 248,262,473,743.63/531,838.33
  6. Step 6: Final answer
    x = 466,800.64

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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.