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Finding the Fourth Proportional to 469,420.84, 703,849.98 and 149,434.52

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Solution

The fourth proportional to 469,420.84, 703,849.98 and 149,434.52 is: 224,062.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,420.84 : 703,849.98 = 149,434.52 : x
  2. Step 2: Convert to fraction form
    469,420.84/703,849.98 = 149,434.52/x
  3. Step 3: Cross multiply
    469,420.84x = 703,849.98 × 149,434.52
  4. Step 4: Simplify right side
    469,420.84x = 105,179,483,913.31
  5. Step 5: Solve for x
    x = 105,179,483,913.31/469,420.84
  6. Step 6: Final answer
    x = 224,062.24

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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.