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Finding the Fourth Proportional to 462,532.91, 638,492.20 and 281,303.01

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Solution

The fourth proportional to 462,532.91, 638,492.20 and 281,303.01 is: 388,317.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,532.91 : 638,492.20 = 281,303.01 : x
  2. Step 2: Convert to fraction form
    462,532.91/638,492.20 = 281,303.01/x
  3. Step 3: Cross multiply
    462,532.91x = 638,492.20 × 281,303.01
  4. Step 4: Simplify right side
    462,532.91x = 179,609,777,018.27
  5. Step 5: Solve for x
    x = 179,609,777,018.27/462,532.91
  6. Step 6: Final answer
    x = 388,317.84

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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.