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Finding the Fourth Proportional to 313,281, 469,835.33 and 153,274.61

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Solution

The fourth proportional to 313,281, 469,835.33 and 153,274.61 is: 229,869.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,281 : 469,835.33 = 153,274.61 : x
  2. Step 2: Convert to fraction form
    313,281/469,835.33 = 153,274.61/x
  3. Step 3: Cross multiply
    313,281x = 469,835.33 × 153,274.61
  4. Step 4: Simplify right side
    313,281x = 72,013,823,854.42
  5. Step 5: Solve for x
    x = 72,013,823,854.42/313,281
  6. Step 6: Final answer
    x = 229,869.75

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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.