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Finding the Fourth Proportional to 523,937, 723,033.06 and 285,473

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Solution

The fourth proportional to 523,937, 723,033.06 and 285,473 is: 393,952.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,937 : 723,033.06 = 285,473 : x
  2. Step 2: Convert to fraction form
    523,937/723,033.06 = 285,473/x
  3. Step 3: Cross multiply
    523,937x = 723,033.06 × 285,473
  4. Step 4: Simplify right side
    523,937x = 206,406,416,737.38
  5. Step 5: Solve for x
    x = 206,406,416,737.38/523,937
  6. Step 6: Final answer
    x = 393,952.74

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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.