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Finding the Fourth Proportional to 457,146.04, 685,267.02 and 216,838.48

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Solution

The fourth proportional to 457,146.04, 685,267.02 and 216,838.48 is: 325,043.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,146.04 : 685,267.02 = 216,838.48 : x
  2. Step 2: Convert to fraction form
    457,146.04/685,267.02 = 216,838.48/x
  3. Step 3: Cross multiply
    457,146.04x = 685,267.02 × 216,838.48
  4. Step 4: Simplify right side
    457,146.04x = 148,592,259,010.93
  5. Step 5: Solve for x
    x = 148,592,259,010.93/457,146.04
  6. Step 6: Final answer
    x = 325,043.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.