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Finding the Fourth Proportional to 314,527.68, 434,055.96 and 171,295.47

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Solution

The fourth proportional to 314,527.68, 434,055.96 and 171,295.47 is: 236,391.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,527.68 : 434,055.96 = 171,295.47 : x
  2. Step 2: Convert to fraction form
    314,527.68/434,055.96 = 171,295.47/x
  3. Step 3: Cross multiply
    314,527.68x = 434,055.96 × 171,295.47
  4. Step 4: Simplify right side
    314,527.68x = 74,351,819,674.50
  5. Step 5: Solve for x
    x = 74,351,819,674.50/314,527.68
  6. Step 6: Final answer
    x = 236,391.98

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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.