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Finding the Fourth Proportional to 432,573.84, 648,862.28 and 133,052.40

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Solution

The fourth proportional to 432,573.84, 648,862.28 and 133,052.40 is: 199,579.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,573.84 : 648,862.28 = 133,052.40 : x
  2. Step 2: Convert to fraction form
    432,573.84/648,862.28 = 133,052.40/x
  3. Step 3: Cross multiply
    432,573.84x = 648,862.28 × 133,052.40
  4. Step 4: Simplify right side
    432,573.84x = 86,332,683,623.47
  5. Step 5: Solve for x
    x = 86,332,683,623.47/432,573.84
  6. Step 6: Final answer
    x = 199,579.07

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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.