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Finding the Fourth Proportional to 567,655.56, 783,362.34 and 313,011

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Solution

The fourth proportional to 567,655.56, 783,362.34 and 313,011 is: 431,953.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    567,655.56 : 783,362.34 = 313,011 : x
  2. Step 2: Convert to fraction form
    567,655.56/783,362.34 = 313,011/x
  3. Step 3: Cross multiply
    567,655.56x = 783,362.34 × 313,011
  4. Step 4: Simplify right side
    567,655.56x = 245,201,029,405.74
  5. Step 5: Solve for x
    x = 245,201,029,405.74/567,655.56
  6. Step 6: Final answer
    x = 431,953.89

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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.