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Finding the Fourth Proportional to 425,477.40, 638,216.10 and 384,005.40

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Solution

The fourth proportional to 425,477.40, 638,216.10 and 384,005.40 is: 576,008.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    425,477.40 : 638,216.10 = 384,005.40 : x
  2. Step 2: Convert to fraction form
    425,477.40/638,216.10 = 384,005.40/x
  3. Step 3: Cross multiply
    425,477.40x = 638,216.10 × 384,005.40
  4. Step 4: Simplify right side
    425,477.40x = 245,078,428,766.94
  5. Step 5: Solve for x
    x = 245,078,428,766.94/425,477.40
  6. Step 6: Final answer
    x = 576,008.10

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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.