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Finding the Fourth Proportional to 421,277.40, 631,916.10 and 210,839.40

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Solution

The fourth proportional to 421,277.40, 631,916.10 and 210,839.40 is: 316,259.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,277.40 : 631,916.10 = 210,839.40 : x
  2. Step 2: Convert to fraction form
    421,277.40/631,916.10 = 210,839.40/x
  3. Step 3: Cross multiply
    421,277.40x = 631,916.10 × 210,839.40
  4. Step 4: Simplify right side
    421,277.40x = 133,232,811,374.34
  5. Step 5: Solve for x
    x = 133,232,811,374.34/421,277.40
  6. Step 6: Final answer
    x = 316,259.10

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.