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Finding the Fourth Proportional to 354,211.40, 531,317.10 and 319,219.40

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Solution

The fourth proportional to 354,211.40, 531,317.10 and 319,219.40 is: 478,829.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,211.40 : 531,317.10 = 319,219.40 : x
  2. Step 2: Convert to fraction form
    354,211.40/531,317.10 = 319,219.40/x
  3. Step 3: Cross multiply
    354,211.40x = 531,317.10 × 319,219.40
  4. Step 4: Simplify right side
    354,211.40x = 169,606,725,871.74
  5. Step 5: Solve for x
    x = 169,606,725,871.74/354,211.40
  6. Step 6: Final answer
    x = 478,829.10

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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.