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Finding the Fourth Proportional to 340,043.60, 510,065.40 and 319,048.40

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Solution

The fourth proportional to 340,043.60, 510,065.40 and 319,048.40 is: 478,572.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,043.60 : 510,065.40 = 319,048.40 : x
  2. Step 2: Convert to fraction form
    340,043.60/510,065.40 = 319,048.40/x
  3. Step 3: Cross multiply
    340,043.60x = 510,065.40 × 319,048.40
  4. Step 4: Simplify right side
    340,043.60x = 162,735,549,765.36
  5. Step 5: Solve for x
    x = 162,735,549,765.36/340,043.60
  6. Step 6: Final answer
    x = 478,572.60

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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.