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Finding the Fourth Proportional to 330,303.84, 495,381.12 and 152,713.84

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Solution

The fourth proportional to 330,303.84, 495,381.12 and 152,713.84 is: 229,036.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    330,303.84 : 495,381.12 = 152,713.84 : x
  2. Step 2: Convert to fraction form
    330,303.84/495,381.12 = 152,713.84/x
  3. Step 3: Cross multiply
    330,303.84x = 495,381.12 × 152,713.84
  4. Step 4: Simplify right side
    330,303.84x = 75,651,553,098.70
  5. Step 5: Solve for x
    x = 75,651,553,098.70/330,303.84
  6. Step 6: Final answer
    x = 229,036.25

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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.