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Finding the Fourth Proportional to 333,784.64, 460,620.92 and 180,825.77

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Solution

The fourth proportional to 333,784.64, 460,620.92 and 180,825.77 is: 249,538.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,784.64 : 460,620.92 = 180,825.77 : x
  2. Step 2: Convert to fraction form
    333,784.64/460,620.92 = 180,825.77/x
  3. Step 3: Cross multiply
    333,784.64x = 460,620.92 × 180,825.77
  4. Step 4: Simplify right side
    333,784.64x = 83,292,130,686.07
  5. Step 5: Solve for x
    x = 83,292,130,686.07/333,784.64
  6. Step 6: Final answer
    x = 249,538.54

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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.