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Finding the Fourth Proportional to 478,389.84, 716,709.60 and 225,878.88

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Solution

The fourth proportional to 478,389.84, 716,709.60 and 225,878.88 is: 338,405.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,389.84 : 716,709.60 = 225,878.88 : x
  2. Step 2: Convert to fraction form
    478,389.84/716,709.60 = 225,878.88/x
  3. Step 3: Cross multiply
    478,389.84x = 716,709.60 × 225,878.88
  4. Step 4: Simplify right side
    478,389.84x = 161,889,561,733.25
  5. Step 5: Solve for x
    x = 161,889,561,733.25/478,389.84
  6. Step 6: Final answer
    x = 338,405.10

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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.