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Finding the Fourth Proportional to 495,358.53, 683,804.02 and 334,431.55

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Solution

The fourth proportional to 495,358.53, 683,804.02 and 334,431.55 is: 461,656.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    495,358.53 : 683,804.02 = 334,431.55 : x
  2. Step 2: Convert to fraction form
    495,358.53/683,804.02 = 334,431.55/x
  3. Step 3: Cross multiply
    495,358.53x = 683,804.02 × 334,431.55
  4. Step 4: Simplify right side
    495,358.53x = 228,685,638,304.83
  5. Step 5: Solve for x
    x = 228,685,638,304.83/495,358.53
  6. Step 6: Final answer
    x = 461,656.81

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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.