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Finding the Fourth Proportional to 464,064.40, 694,541.40 and 408,077.20

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Solution

The fourth proportional to 464,064.40, 694,541.40 and 408,077.20 is: 610,748.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,064.40 : 694,541.40 = 408,077.20 : x
  2. Step 2: Convert to fraction form
    464,064.40/694,541.40 = 408,077.20/x
  3. Step 3: Cross multiply
    464,064.40x = 694,541.40 × 408,077.20
  4. Step 4: Simplify right side
    464,064.40x = 283,426,509,796.08
  5. Step 5: Solve for x
    x = 283,426,509,796.08/464,064.40
  6. Step 6: Final answer
    x = 610,748.23

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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.