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Finding the Fourth Proportional to 357,533.52, 536,293.80 and 301,732.08

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Solution

The fourth proportional to 357,533.52, 536,293.80 and 301,732.08 is: 452,592.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,533.52 : 536,293.80 = 301,732.08 : x
  2. Step 2: Convert to fraction form
    357,533.52/536,293.80 = 301,732.08/x
  3. Step 3: Cross multiply
    357,533.52x = 536,293.80 × 301,732.08
  4. Step 4: Simplify right side
    357,533.52x = 161,817,043,765.10
  5. Step 5: Solve for x
    x = 161,817,043,765.10/357,533.52
  6. Step 6: Final answer
    x = 452,592.65

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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.