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Finding the Fourth Proportional to 563,473.26, 777,600 and 308,823.84

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Solution

The fourth proportional to 563,473.26, 777,600 and 308,823.84 is: 426,180.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    563,473.26 : 777,600 = 308,823.84 : x
  2. Step 2: Convert to fraction form
    563,473.26/777,600 = 308,823.84/x
  3. Step 3: Cross multiply
    563,473.26x = 777,600 × 308,823.84
  4. Step 4: Simplify right side
    563,473.26x = 240,141,417,984.00
  5. Step 5: Solve for x
    x = 240,141,417,984.00/563,473.26
  6. Step 6: Final answer
    x = 426,180.68

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1.5x scale

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.