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Finding the Fourth Proportional to 333,409.56, 460,101.63 and 180,444.40

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Solution

The fourth proportional to 333,409.56, 460,101.63 and 180,444.40 is: 249,011.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,409.56 : 460,101.63 = 180,444.40 : x
  2. Step 2: Convert to fraction form
    333,409.56/460,101.63 = 180,444.40/x
  3. Step 3: Cross multiply
    333,409.56x = 460,101.63 × 180,444.40
  4. Step 4: Simplify right side
    333,409.56x = 83,022,762,564.37
  5. Step 5: Solve for x
    x = 83,022,762,564.37/333,409.56
  6. Step 6: Final answer
    x = 249,011.34

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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.