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Finding the Fourth Proportional to 567,655.32, 783,347.58 and 313,006.44

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Solution

The fourth proportional to 567,655.32, 783,347.58 and 313,006.44 is: 431,939.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    567,655.32 : 783,347.58 = 313,006.44 : x
  2. Step 2: Convert to fraction form
    567,655.32/783,347.58 = 313,006.44/x
  3. Step 3: Cross multiply
    567,655.32x = 783,347.58 × 313,006.44
  4. Step 4: Simplify right side
    567,655.32x = 245,192,837,298.42
  5. Step 5: Solve for x
    x = 245,192,837,298.42/567,655.32
  6. Step 6: Final answer
    x = 431,939.64

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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.