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Finding the Fourth Proportional to 407,855.40, 611,783.10 and 407,855.40

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Solution

The fourth proportional to 407,855.40, 611,783.10 and 407,855.40 is: 611,783.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,855.40 : 611,783.10 = 407,855.40 : x
  2. Step 2: Convert to fraction form
    407,855.40/611,783.10 = 407,855.40/x
  3. Step 3: Cross multiply
    407,855.40x = 611,783.10 × 407,855.40
  4. Step 4: Simplify right side
    407,855.40x = 249,519,040,963.74
  5. Step 5: Solve for x
    x = 249,519,040,963.74/407,855.40
  6. Step 6: Final answer
    x = 611,783.10

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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.