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Finding the Fourth Proportional to 314,364.96, 433,834.10 and 176,568.12

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Solution

The fourth proportional to 314,364.96, 433,834.10 and 176,568.12 is: 243,669.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,364.96 : 433,834.10 = 176,568.12 : x
  2. Step 2: Convert to fraction form
    314,364.96/433,834.10 = 176,568.12/x
  3. Step 3: Cross multiply
    314,364.96x = 433,834.10 × 176,568.12
  4. Step 4: Simplify right side
    314,364.96x = 76,601,271,428.89
  5. Step 5: Solve for x
    x = 76,601,271,428.89/314,364.96
  6. Step 6: Final answer
    x = 243,669.88

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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.