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Finding the Fourth Proportional to 340,404.60, 510,606.90 and 319,409.40

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Solution

The fourth proportional to 340,404.60, 510,606.90 and 319,409.40 is: 479,114.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,404.60 : 510,606.90 = 319,409.40 : x
  2. Step 2: Convert to fraction form
    340,404.60/510,606.90 = 319,409.40/x
  3. Step 3: Cross multiply
    340,404.60x = 510,606.90 × 319,409.40
  4. Step 4: Simplify right side
    340,404.60x = 163,092,643,564.86
  5. Step 5: Solve for x
    x = 163,092,643,564.86/340,404.60
  6. Step 6: Final answer
    x = 479,114.10

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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.