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Finding the Fourth Proportional to 523,148.34, 784,717.02 and 346,445.94

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Solution

The fourth proportional to 523,148.34, 784,717.02 and 346,445.94 is: 519,665.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,148.34 : 784,717.02 = 346,445.94 : x
  2. Step 2: Convert to fraction form
    523,148.34/784,717.02 = 346,445.94/x
  3. Step 3: Cross multiply
    523,148.34x = 784,717.02 × 346,445.94
  4. Step 4: Simplify right side
    523,148.34x = 271,862,025,627.90
  5. Step 5: Solve for x
    x = 271,862,025,627.90/523,148.34
  6. Step 6: Final answer
    x = 519,665.27

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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.