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Finding the Fourth Proportional to 469,011.81, 701,835.99 and 406,048.53

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Solution

The fourth proportional to 469,011.81, 701,835.99 and 406,048.53 is: 607,616.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,011.81 : 701,835.99 = 406,048.53 : x
  2. Step 2: Convert to fraction form
    469,011.81/701,835.99 = 406,048.53/x
  3. Step 3: Cross multiply
    469,011.81x = 701,835.99 × 406,048.53
  4. Step 4: Simplify right side
    469,011.81x = 284,979,472,040.60
  5. Step 5: Solve for x
    x = 284,979,472,040.60/469,011.81
  6. Step 6: Final answer
    x = 607,616.84

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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.