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Finding the Fourth Proportional to 466,905.76, 646,932.01 and 456,816.40

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Solution

The fourth proportional to 466,905.76, 646,932.01 and 456,816.40 is: 632,952.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,905.76 : 646,932.01 = 456,816.40 : x
  2. Step 2: Convert to fraction form
    466,905.76/646,932.01 = 456,816.40/x
  3. Step 3: Cross multiply
    466,905.76x = 646,932.01 × 456,816.40
  4. Step 4: Simplify right side
    466,905.76x = 295,529,151,852.96
  5. Step 5: Solve for x
    x = 295,529,151,852.96/466,905.76
  6. Step 6: Final answer
    x = 632,952.47

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.