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Finding the Fourth Proportional to 565,415.38, 780,279.26 and 307,292.31

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Solution

The fourth proportional to 565,415.38, 780,279.26 and 307,292.31 is: 424,066.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,415.38 : 780,279.26 = 307,292.31 : x
  2. Step 2: Convert to fraction form
    565,415.38/780,279.26 = 307,292.31/x
  3. Step 3: Cross multiply
    565,415.38x = 780,279.26 × 307,292.31
  4. Step 4: Simplify right side
    565,415.38x = 239,773,817,018.72
  5. Step 5: Solve for x
    x = 239,773,817,018.72/565,415.38
  6. Step 6: Final answer
    x = 424,066.67

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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.