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Finding the Fourth Proportional to 334,686.40, 501,692.64 and 147,664.96

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Solution

The fourth proportional to 334,686.40, 501,692.64 and 147,664.96 is: 221,348.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,686.40 : 501,692.64 = 147,664.96 : x
  2. Step 2: Convert to fraction form
    334,686.40/501,692.64 = 147,664.96/x
  3. Step 3: Cross multiply
    334,686.40x = 501,692.64 × 147,664.96
  4. Step 4: Simplify right side
    334,686.40x = 74,082,423,617.89
  5. Step 5: Solve for x
    x = 74,082,423,617.89/334,686.40
  6. Step 6: Final answer
    x = 221,348.77

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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.