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Finding the Fourth Proportional to 314,304.48, 433,740.20 and 171,065.57

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Solution

The fourth proportional to 314,304.48, 433,740.20 and 171,065.57 is: 236,070.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,304.48 : 433,740.20 = 171,065.57 : x
  2. Step 2: Convert to fraction form
    314,304.48/433,740.20 = 171,065.57/x
  3. Step 3: Cross multiply
    314,304.48x = 433,740.20 × 171,065.57
  4. Step 4: Simplify right side
    314,304.48x = 74,198,011,520.89
  5. Step 5: Solve for x
    x = 74,198,011,520.89/314,304.48
  6. Step 6: Final answer
    x = 236,070.49

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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.