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Finding the Fourth Proportional to 523,101.06, 719,614.27 and 458,278.38

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Solution

The fourth proportional to 523,101.06, 719,614.27 and 458,278.38 is: 630,439.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,101.06 : 719,614.27 = 458,278.38 : x
  2. Step 2: Convert to fraction form
    523,101.06/719,614.27 = 458,278.38/x
  3. Step 3: Cross multiply
    523,101.06x = 719,614.27 × 458,278.38
  4. Step 4: Simplify right side
    523,101.06x = 329,783,661,880.48
  5. Step 5: Solve for x
    x = 329,783,661,880.48/523,101.06
  6. Step 6: Final answer
    x = 630,439.67

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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.