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Finding the Fourth Proportional to 633,509.40, 874,243.14 and 347,039.76

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Solution

The fourth proportional to 633,509.40, 874,243.14 and 347,039.76 is: 478,914.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    633,509.40 : 874,243.14 = 347,039.76 : x
  2. Step 2: Convert to fraction form
    633,509.40/874,243.14 = 347,039.76/x
  3. Step 3: Cross multiply
    633,509.40x = 874,243.14 × 347,039.76
  4. Step 4: Simplify right side
    633,509.40x = 303,397,129,487.25
  5. Step 5: Solve for x
    x = 303,397,129,487.25/633,509.40
  6. Step 6: Final answer
    x = 478,914.96

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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.