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Finding the Fourth Proportional to 630,504.80, 945,872.40 and 256,565.60

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Solution

The fourth proportional to 630,504.80, 945,872.40 and 256,565.60 is: 384,895.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    630,504.80 : 945,872.40 = 256,565.60 : x
  2. Step 2: Convert to fraction form
    630,504.80/945,872.40 = 256,565.60/x
  3. Step 3: Cross multiply
    630,504.80x = 945,872.40 × 256,565.60
  4. Step 4: Simplify right side
    630,504.80x = 242,678,319,829.44
  5. Step 5: Solve for x
    x = 242,678,319,829.44/630,504.80
  6. Step 6: Final answer
    x = 384,895.28

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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.