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Finding the Fourth Proportional to 567,488.16, 783,138.84 and 312,848.46

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Solution

The fourth proportional to 567,488.16, 783,138.84 and 312,848.46 is: 431,733.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    567,488.16 : 783,138.84 = 312,848.46 : x
  2. Step 2: Convert to fraction form
    567,488.16/783,138.84 = 312,848.46/x
  3. Step 3: Cross multiply
    567,488.16x = 783,138.84 × 312,848.46
  4. Step 4: Simplify right side
    567,488.16x = 245,003,780,060.19
  5. Step 5: Solve for x
    x = 245,003,780,060.19/567,488.16
  6. Step 6: Final answer
    x = 431,733.73

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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.