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Finding the Fourth Proportional to 537,302.56, 804,897.24 and 312,190.48

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Solution

The fourth proportional to 537,302.56, 804,897.24 and 312,190.48 is: 467,671.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,302.56 : 804,897.24 = 312,190.48 : x
  2. Step 2: Convert to fraction form
    537,302.56/804,897.24 = 312,190.48/x
  3. Step 3: Cross multiply
    537,302.56x = 804,897.24 × 312,190.48
  4. Step 4: Simplify right side
    537,302.56x = 251,281,255,706.28
  5. Step 5: Solve for x
    x = 251,281,255,706.28/537,302.56
  6. Step 6: Final answer
    x = 467,671.80

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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.