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Finding the Fourth Proportional to 295,715.40, 443,864.70 and 146,124.60

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Solution

The fourth proportional to 295,715.40, 443,864.70 and 146,124.60 is: 219,330.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,715.40 : 443,864.70 = 146,124.60 : x
  2. Step 2: Convert to fraction form
    295,715.40/443,864.70 = 146,124.60/x
  3. Step 3: Cross multiply
    295,715.40x = 443,864.70 × 146,124.60
  4. Step 4: Simplify right side
    295,715.40x = 64,859,551,741.62
  5. Step 5: Solve for x
    x = 64,859,551,741.62/295,715.40
  6. Step 6: Final answer
    x = 219,330.99

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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.