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Finding the Fourth Proportional to 357,928.64, 536,996.64 and 147,458.24

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Solution

The fourth proportional to 357,928.64, 536,996.64 and 147,458.24 is: 221,230.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,928.64 : 536,996.64 = 147,458.24 : x
  2. Step 2: Convert to fraction form
    357,928.64/536,996.64 = 147,458.24/x
  3. Step 3: Cross multiply
    357,928.64x = 536,996.64 × 147,458.24
  4. Step 4: Simplify right side
    357,928.64x = 79,184,579,420.31
  5. Step 5: Solve for x
    x = 79,184,579,420.31/357,928.64
  6. Step 6: Final answer
    x = 221,230.07

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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.