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Finding the Fourth Proportional to 432,229.06, 648,800.13 and 242,851.26

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Solution

The fourth proportional to 432,229.06, 648,800.13 and 242,851.26 is: 364,533.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,229.06 : 648,800.13 = 242,851.26 : x
  2. Step 2: Convert to fraction form
    432,229.06/648,800.13 = 242,851.26/x
  3. Step 3: Cross multiply
    432,229.06x = 648,800.13 × 242,851.26
  4. Step 4: Simplify right side
    432,229.06x = 157,561,931,036.32
  5. Step 5: Solve for x
    x = 157,561,931,036.32/432,229.06
  6. Step 6: Final answer
    x = 364,533.40

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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.