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Finding the Fourth Proportional to 340,046.60, 510,069.90 and 319,051.40

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Solution

The fourth proportional to 340,046.60, 510,069.90 and 319,051.40 is: 478,577.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,046.60 : 510,069.90 = 319,051.40 : x
  2. Step 2: Convert to fraction form
    340,046.60/510,069.90 = 319,051.40/x
  3. Step 3: Cross multiply
    340,046.60x = 510,069.90 × 319,051.40
  4. Step 4: Simplify right side
    340,046.60x = 162,738,515,692.86
  5. Step 5: Solve for x
    x = 162,738,515,692.86/340,046.60
  6. Step 6: Final answer
    x = 478,577.10

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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.