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Finding the Fourth Proportional to 565,658.38, 780,623.34 and 307,552.69

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Solution

The fourth proportional to 565,658.38, 780,623.34 and 307,552.69 is: 424,430.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,658.38 : 780,623.34 = 307,552.69 : x
  2. Step 2: Convert to fraction form
    565,658.38/780,623.34 = 307,552.69/x
  3. Step 3: Cross multiply
    565,658.38x = 780,623.34 × 307,552.69
  4. Step 4: Simplify right side
    565,658.38x = 240,082,808,093.79
  5. Step 5: Solve for x
    x = 240,082,808,093.79/565,658.38
  6. Step 6: Final answer
    x = 424,430.75

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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.