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Finding the Fourth Proportional to 385,343.40, 578,015.10 and 163,727.40

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Solution

The fourth proportional to 385,343.40, 578,015.10 and 163,727.40 is: 245,591.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,343.40 : 578,015.10 = 163,727.40 : x
  2. Step 2: Convert to fraction form
    385,343.40/578,015.10 = 163,727.40/x
  3. Step 3: Cross multiply
    385,343.40x = 578,015.10 × 163,727.40
  4. Step 4: Simplify right side
    385,343.40x = 94,636,909,483.74
  5. Step 5: Solve for x
    x = 94,636,909,483.74/385,343.40
  6. Step 6: Final answer
    x = 245,591.10

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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.