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Finding the Fourth Proportional to 333,564.06, 460,312.87 and 180,601.03

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Solution

The fourth proportional to 333,564.06, 460,312.87 and 180,601.03 is: 249,226.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,564.06 : 460,312.87 = 180,601.03 : x
  2. Step 2: Convert to fraction form
    333,564.06/460,312.87 = 180,601.03/x
  3. Step 3: Cross multiply
    333,564.06x = 460,312.87 × 180,601.03
  4. Step 4: Simplify right side
    333,564.06x = 83,132,978,444.26
  5. Step 5: Solve for x
    x = 83,132,978,444.26/333,564.06
  6. Step 6: Final answer
    x = 249,226.42

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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.