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Finding the Fourth Proportional to 456,051.81, 684,551.05 and 264,300.88

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Solution

The fourth proportional to 456,051.81, 684,551.05 and 264,300.88 is: 396,725.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,051.81 : 684,551.05 = 264,300.88 : x
  2. Step 2: Convert to fraction form
    456,051.81/684,551.05 = 264,300.88/x
  3. Step 3: Cross multiply
    456,051.81x = 684,551.05 × 264,300.88
  4. Step 4: Simplify right side
    456,051.81x = 180,927,445,756.63
  5. Step 5: Solve for x
    x = 180,927,445,756.63/456,051.81
  6. Step 6: Final answer
    x = 396,725.64

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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.