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Finding the Fourth Proportional to 563,476.16, 777,607.44 and 308,825.48

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Solution

The fourth proportional to 563,476.16, 777,607.44 and 308,825.48 is: 426,184.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    563,476.16 : 777,607.44 = 308,825.48 : x
  2. Step 2: Convert to fraction form
    563,476.16/777,607.44 = 308,825.48/x
  3. Step 3: Cross multiply
    563,476.16x = 777,607.44 × 308,825.48
  4. Step 4: Simplify right side
    563,476.16x = 240,144,990,909.57
  5. Step 5: Solve for x
    x = 240,144,990,909.57/563,476.16
  6. Step 6: Final answer
    x = 426,184.83

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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.