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Finding the Fourth Proportional to 333,925.20, 460,815.75 and 180,967.77

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Solution

The fourth proportional to 333,925.20, 460,815.75 and 180,967.77 is: 249,734.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,925.20 : 460,815.75 = 180,967.77 : x
  2. Step 2: Convert to fraction form
    333,925.20/460,815.75 = 180,967.77/x
  3. Step 3: Cross multiply
    333,925.20x = 460,815.75 × 180,967.77
  4. Step 4: Simplify right side
    333,925.20x = 83,392,798,658.38
  5. Step 5: Solve for x
    x = 83,392,798,658.38/333,925.20
  6. Step 6: Final answer
    x = 249,734.97

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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.