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Finding the Fourth Proportional to 433,409.92, 598,053.28 and 249,708.58

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Solution

The fourth proportional to 433,409.92, 598,053.28 and 249,708.58 is: 344,567.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,409.92 : 598,053.28 = 249,708.58 : x
  2. Step 2: Convert to fraction form
    433,409.92/598,053.28 = 249,708.58/x
  3. Step 3: Cross multiply
    433,409.92x = 598,053.28 × 249,708.58
  4. Step 4: Simplify right side
    433,409.92x = 149,339,035,313.14
  5. Step 5: Solve for x
    x = 149,339,035,313.14/433,409.92
  6. Step 6: Final answer
    x = 344,567.64

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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.