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Finding the Fourth Proportional to 565,509.62, 780,408.82 and 307,386.41

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Solution

The fourth proportional to 565,509.62, 780,408.82 and 307,386.41 is: 424,196.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,509.62 : 780,408.82 = 307,386.41 : x
  2. Step 2: Convert to fraction form
    565,509.62/780,408.82 = 307,386.41/x
  3. Step 3: Cross multiply
    565,509.62x = 780,408.82 × 307,386.41
  4. Step 4: Simplify right side
    565,509.62x = 239,887,065,512.14
  5. Step 5: Solve for x
    x = 239,887,065,512.14/565,509.62
  6. Step 6: Final answer
    x = 424,196.26

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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.