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Finding the Fourth Proportional to 591,281.58, 815,968.42 and 319,349.40

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Solution

The fourth proportional to 591,281.58, 815,968.42 and 319,349.40 is: 440,702.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    591,281.58 : 815,968.42 = 319,349.40 : x
  2. Step 2: Convert to fraction form
    591,281.58/815,968.42 = 319,349.40/x
  3. Step 3: Cross multiply
    591,281.58x = 815,968.42 × 319,349.40
  4. Step 4: Simplify right side
    591,281.58x = 260,579,025,345.95
  5. Step 5: Solve for x
    x = 260,579,025,345.95/591,281.58
  6. Step 6: Final answer
    x = 440,702.09

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.