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Finding the Fourth Proportional to 495,448.64, 684,002.40 and 326,174.84

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Solution

The fourth proportional to 495,448.64, 684,002.40 and 326,174.84 is: 450,307.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    495,448.64 : 684,002.40 = 326,174.84 : x
  2. Step 2: Convert to fraction form
    495,448.64/684,002.40 = 326,174.84/x
  3. Step 3: Cross multiply
    495,448.64x = 684,002.40 × 326,174.84
  4. Step 4: Simplify right side
    495,448.64x = 223,104,373,379.62
  5. Step 5: Solve for x
    x = 223,104,373,379.62/495,448.64
  6. Step 6: Final answer
    x = 450,307.77

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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.