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Finding the Fourth Proportional to 385,432.53, 578,145.45 and 301,263.40

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Solution

The fourth proportional to 385,432.53, 578,145.45 and 301,263.40 is: 451,892.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,432.53 : 578,145.45 = 301,263.40 : x
  2. Step 2: Convert to fraction form
    385,432.53/578,145.45 = 301,263.40/x
  3. Step 3: Cross multiply
    385,432.53x = 578,145.45 × 301,263.40
  4. Step 4: Simplify right side
    385,432.53x = 174,174,064,119.34
  5. Step 5: Solve for x
    x = 174,174,064,119.34/385,432.53
  6. Step 6: Final answer
    x = 451,892.49

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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.