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Finding the Fourth Proportional to 564,032.34, 842,084.87 and 430,198.74

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Solution

The fourth proportional to 564,032.34, 842,084.87 and 430,198.74 is: 642,274.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,032.34 : 842,084.87 = 430,198.74 : x
  2. Step 2: Convert to fraction form
    564,032.34/842,084.87 = 430,198.74/x
  3. Step 3: Cross multiply
    564,032.34x = 842,084.87 × 430,198.74
  4. Step 4: Simplify right side
    564,032.34x = 362,263,847,896.07
  5. Step 5: Solve for x
    x = 362,263,847,896.07/564,032.34
  6. Step 6: Final answer
    x = 642,274.96

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.