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Finding the Fourth Proportional to 333,545.73, 460,289.88 and 180,580.02

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Solution

The fourth proportional to 333,545.73, 460,289.88 and 180,580.02 is: 249,198.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,545.73 : 460,289.88 = 180,580.02 : x
  2. Step 2: Convert to fraction form
    333,545.73/460,289.88 = 180,580.02/x
  3. Step 3: Cross multiply
    333,545.73x = 460,289.88 × 180,580.02
  4. Step 4: Simplify right side
    333,545.73x = 83,119,155,736.20
  5. Step 5: Solve for x
    x = 83,119,155,736.20/333,545.73
  6. Step 6: Final answer
    x = 249,198.68

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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.