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Finding the Fourth Proportional to 563,684.64, 777,846 and 334,230.24

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Solution

The fourth proportional to 563,684.64, 777,846 and 334,230.24 is: 461,214.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    563,684.64 : 777,846 = 334,230.24 : x
  2. Step 2: Convert to fraction form
    563,684.64/777,846 = 334,230.24/x
  3. Step 3: Cross multiply
    563,684.64x = 777,846 × 334,230.24
  4. Step 4: Simplify right side
    563,684.64x = 259,979,655,263.04
  5. Step 5: Solve for x
    x = 259,979,655,263.04/563,684.64
  6. Step 6: Final answer
    x = 461,214.72

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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.