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Finding the Fourth Proportional to 630,752.72, 945,307.64 and 256,338

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Solution

The fourth proportional to 630,752.72, 945,307.64 and 256,338 is: 384,173.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    630,752.72 : 945,307.64 = 256,338 : x
  2. Step 2: Convert to fraction form
    630,752.72/945,307.64 = 256,338/x
  3. Step 3: Cross multiply
    630,752.72x = 945,307.64 × 256,338
  4. Step 4: Simplify right side
    630,752.72x = 242,318,269,822.32
  5. Step 5: Solve for x
    x = 242,318,269,822.32/630,752.72
  6. Step 6: Final answer
    x = 384,173.17

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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.