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Finding the Fourth Proportional to 456,648.02, 684,957.90 and 216,934.48

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Solution

The fourth proportional to 456,648.02, 684,957.90 and 216,934.48 is: 325,395.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,648.02 : 684,957.90 = 216,934.48 : x
  2. Step 2: Convert to fraction form
    456,648.02/684,957.90 = 216,934.48/x
  3. Step 3: Cross multiply
    456,648.02x = 684,957.90 × 216,934.48
  4. Step 4: Simplify right side
    456,648.02x = 148,590,985,858.39
  5. Step 5: Solve for x
    x = 148,590,985,858.39/456,648.02
  6. Step 6: Final answer
    x = 325,395.01

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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.