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Finding the Fourth Proportional to 495,731.34, 684,318.78 and 334,804.59

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Solution

The fourth proportional to 495,731.34, 684,318.78 and 334,804.59 is: 462,171.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    495,731.34 : 684,318.78 = 334,804.59 : x
  2. Step 2: Convert to fraction form
    495,731.34/684,318.78 = 334,804.59/x
  3. Step 3: Cross multiply
    495,731.34x = 684,318.78 × 334,804.59
  4. Step 4: Simplify right side
    495,731.34x = 229,113,068,567.20
  5. Step 5: Solve for x
    x = 229,113,068,567.20/495,731.34
  6. Step 6: Final answer
    x = 462,171.85

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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.