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Finding the Fourth Proportional to 403,978.40, 605,967.60 and 385,607.60

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Solution

The fourth proportional to 403,978.40, 605,967.60 and 385,607.60 is: 578,411.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,978.40 : 605,967.60 = 385,607.60 : x
  2. Step 2: Convert to fraction form
    403,978.40/605,967.60 = 385,607.60/x
  3. Step 3: Cross multiply
    403,978.40x = 605,967.60 × 385,607.60
  4. Step 4: Simplify right side
    403,978.40x = 233,665,711,913.76
  5. Step 5: Solve for x
    x = 233,665,711,913.76/403,978.40
  6. Step 6: Final answer
    x = 578,411.40

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Why These Related Problems?

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