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Finding the Fourth Proportional to 333,545.89, 460,293.42 and 180,584.05

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Solution

The fourth proportional to 333,545.89, 460,293.42 and 180,584.05 is: 249,206.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,545.89 : 460,293.42 = 180,584.05 : x
  2. Step 2: Convert to fraction form
    333,545.89/460,293.42 = 180,584.05/x
  3. Step 3: Cross multiply
    333,545.89x = 460,293.42 × 180,584.05
  4. Step 4: Simplify right side
    333,545.89x = 83,121,649,971.95
  5. Step 5: Solve for x
    x = 83,121,649,971.95/333,545.89
  6. Step 6: Final answer
    x = 249,206.04

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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.