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Finding the Fourth Proportional to 314,271.42, 433,911.53 and 294,194.76

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Solution

The fourth proportional to 314,271.42, 433,911.53 and 294,194.76 is: 406,191.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,271.42 : 433,911.53 = 294,194.76 : x
  2. Step 2: Convert to fraction form
    314,271.42/433,911.53 = 294,194.76/x
  3. Step 3: Cross multiply
    314,271.42x = 433,911.53 × 294,194.76
  4. Step 4: Simplify right side
    314,271.42x = 127,654,498,429.58
  5. Step 5: Solve for x
    x = 127,654,498,429.58/314,271.42
  6. Step 6: Final answer
    x = 406,191.88

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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.