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Finding the Fourth Proportional to 294,405.09, 406,300.02 and 167,088.88

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Solution

The fourth proportional to 294,405.09, 406,300.02 and 167,088.88 is: 230,594.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,405.09 : 406,300.02 = 167,088.88 : x
  2. Step 2: Convert to fraction form
    294,405.09/406,300.02 = 167,088.88/x
  3. Step 3: Cross multiply
    294,405.09x = 406,300.02 × 167,088.88
  4. Step 4: Simplify right side
    294,405.09x = 67,888,215,285.78
  5. Step 5: Solve for x
    x = 67,888,215,285.78/294,405.09
  6. Step 6: Final answer
    x = 230,594.57

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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.