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Finding the Fourth Proportional to 563,686.64, 777,848.76 and 334,232.24

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Solution

The fourth proportional to 563,686.64, 777,848.76 and 334,232.24 is: 461,217.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    563,686.64 : 777,848.76 = 334,232.24 : x
  2. Step 2: Convert to fraction form
    563,686.64/777,848.76 = 334,232.24/x
  3. Step 3: Cross multiply
    563,686.64x = 777,848.76 × 334,232.24
  4. Step 4: Simplify right side
    563,686.64x = 259,982,133,436.02
  5. Step 5: Solve for x
    x = 259,982,133,436.02/563,686.64
  6. Step 6: Final answer
    x = 461,217.48

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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.