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Finding the Fourth Proportional to 384,626.34, 577,067.68 and 242,307.30

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Solution

The fourth proportional to 384,626.34, 577,067.68 and 242,307.30 is: 363,541.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,626.34 : 577,067.68 = 242,307.30 : x
  2. Step 2: Convert to fraction form
    384,626.34/577,067.68 = 242,307.30/x
  3. Step 3: Cross multiply
    384,626.34x = 577,067.68 × 242,307.30
  4. Step 4: Simplify right side
    384,626.34x = 139,827,711,458.06
  5. Step 5: Solve for x
    x = 139,827,711,458.06/384,626.34
  6. Step 6: Final answer
    x = 363,541.69

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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.