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Finding the Fourth Proportional to 506,569.70, 700,401.93 and 443,584.10

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Solution

The fourth proportional to 506,569.70, 700,401.93 and 443,584.10 is: 613,315.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,569.70 : 700,401.93 = 443,584.10 : x
  2. Step 2: Convert to fraction form
    506,569.70/700,401.93 = 443,584.10/x
  3. Step 3: Cross multiply
    506,569.70x = 700,401.93 × 443,584.10
  4. Step 4: Simplify right side
    506,569.70x = 310,687,159,757.31
  5. Step 5: Solve for x
    x = 310,687,159,757.31/506,569.70
  6. Step 6: Final answer
    x = 613,315.72

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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.