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Finding the Fourth Proportional to 357,929.64, 536,998.14 and 147,459.24

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Solution

The fourth proportional to 357,929.64, 536,998.14 and 147,459.24 is: 221,231.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,929.64 : 536,998.14 = 147,459.24 : x
  2. Step 2: Convert to fraction form
    357,929.64/536,998.14 = 147,459.24/x
  3. Step 3: Cross multiply
    357,929.64x = 536,998.14 × 147,459.24
  4. Step 4: Simplify right side
    357,929.64x = 79,185,337,605.81
  5. Step 5: Solve for x
    x = 79,185,337,605.81/357,929.64
  6. Step 6: Final answer
    x = 221,231.57

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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.