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Finding the Fourth Proportional to 567,401.82, 783,014.52 and 312,758.46

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Solution

The fourth proportional to 567,401.82, 783,014.52 and 312,758.46 is: 431,606.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    567,401.82 : 783,014.52 = 312,758.46 : x
  2. Step 2: Convert to fraction form
    567,401.82/783,014.52 = 312,758.46/x
  3. Step 3: Cross multiply
    567,401.82x = 783,014.52 × 312,758.46
  4. Step 4: Simplify right side
    567,401.82x = 244,894,415,432.84
  5. Step 5: Solve for x
    x = 244,894,415,432.84/567,401.82
  6. Step 6: Final answer
    x = 431,606.68

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1.5x scale

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.