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Finding the Fourth Proportional to 589,130.64, 883,678.32 and 162,692.46

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Solution

The fourth proportional to 589,130.64, 883,678.32 and 162,692.46 is: 244,033.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    589,130.64 : 883,678.32 = 162,692.46 : x
  2. Step 2: Convert to fraction form
    589,130.64/883,678.32 = 162,692.46/x
  3. Step 3: Cross multiply
    589,130.64x = 883,678.32 × 162,692.46
  4. Step 4: Simplify right side
    589,130.64x = 143,767,799,729.47
  5. Step 5: Solve for x
    x = 143,767,799,729.47/589,130.64
  6. Step 6: Final answer
    x = 244,033.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.