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Finding the Fourth Proportional to 469,417.84, 703,845.48 and 149,431.52

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Solution

The fourth proportional to 469,417.84, 703,845.48 and 149,431.52 is: 224,057.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,417.84 : 703,845.48 = 149,431.52 : x
  2. Step 2: Convert to fraction form
    469,417.84/703,845.48 = 149,431.52/x
  3. Step 3: Cross multiply
    469,417.84x = 703,845.48 × 149,431.52
  4. Step 4: Simplify right side
    469,417.84x = 105,176,699,921.53
  5. Step 5: Solve for x
    x = 105,176,699,921.53/469,417.84
  6. Step 6: Final answer
    x = 224,057.74

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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.