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Finding the Fourth Proportional to 523,149.34, 784,718.52 and 346,446.94

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Solution

The fourth proportional to 523,149.34, 784,718.52 and 346,446.94 is: 519,666.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,149.34 : 784,718.52 = 346,446.94 : x
  2. Step 2: Convert to fraction form
    523,149.34/784,718.52 = 346,446.94/x
  3. Step 3: Cross multiply
    523,149.34x = 784,718.52 × 346,446.94
  4. Step 4: Simplify right side
    523,149.34x = 271,863,330,015.33
  5. Step 5: Solve for x
    x = 271,863,330,015.33/523,149.34
  6. Step 6: Final answer
    x = 519,666.77

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.