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Finding the Fourth Proportional to 507,946.36, 700,712.22 and 324,270.76

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Solution

The fourth proportional to 507,946.36, 700,712.22 and 324,270.76 is: 447,331.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,946.36 : 700,712.22 = 324,270.76 : x
  2. Step 2: Convert to fraction form
    507,946.36/700,712.22 = 324,270.76/x
  3. Step 3: Cross multiply
    507,946.36x = 700,712.22 × 324,270.76
  4. Step 4: Simplify right side
    507,946.36x = 227,220,484,120.69
  5. Step 5: Solve for x
    x = 227,220,484,120.69/507,946.36
  6. Step 6: Final answer
    x = 447,331.65

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Double scale
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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.