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Finding the Fourth Proportional to 565,568.80, 780,499.98 and 307,463.20

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Solution

The fourth proportional to 565,568.80, 780,499.98 and 307,463.20 is: 424,307.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,568.80 : 780,499.98 = 307,463.20 : x
  2. Step 2: Convert to fraction form
    565,568.80/780,499.98 = 307,463.20/x
  3. Step 3: Cross multiply
    565,568.80x = 780,499.98 × 307,463.20
  4. Step 4: Simplify right side
    565,568.80x = 239,975,021,450.74
  5. Step 5: Solve for x
    x = 239,975,021,450.74/565,568.80
  6. Step 6: Final answer
    x = 424,307.39

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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.