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Finding the Fourth Proportional to 456,926.84, 630,558.96 and 255,722.84

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Solution

The fourth proportional to 456,926.84, 630,558.96 and 255,722.84 is: 352,897.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,926.84 : 630,558.96 = 255,722.84 : x
  2. Step 2: Convert to fraction form
    456,926.84/630,558.96 = 255,722.84/x
  3. Step 3: Cross multiply
    456,926.84x = 630,558.96 × 255,722.84
  4. Step 4: Simplify right side
    456,926.84x = 161,248,328,038.65
  5. Step 5: Solve for x
    x = 161,248,328,038.65/456,926.84
  6. Step 6: Final answer
    x = 352,897.47

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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.