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Finding the Fourth Proportional to 340,077.60, 510,116.40 and 319,082.40

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Solution

The fourth proportional to 340,077.60, 510,116.40 and 319,082.40 is: 478,623.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,077.60 : 510,116.40 = 319,082.40 : x
  2. Step 2: Convert to fraction form
    340,077.60/510,116.40 = 319,082.40/x
  3. Step 3: Cross multiply
    340,077.60x = 510,116.40 × 319,082.40
  4. Step 4: Simplify right side
    340,077.60x = 162,769,165,191.36
  5. Step 5: Solve for x
    x = 162,769,165,191.36/340,077.60
  6. Step 6: Final answer
    x = 478,623.60

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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.