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Finding the Fourth Proportional to 432,702.72, 597,090.24 and 241,689.60

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Solution

The fourth proportional to 432,702.72, 597,090.24 and 241,689.60 is: 333,509.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,702.72 : 597,090.24 = 241,689.60 : x
  2. Step 2: Convert to fraction form
    432,702.72/597,090.24 = 241,689.60/x
  3. Step 3: Cross multiply
    432,702.72x = 597,090.24 × 241,689.60
  4. Step 4: Simplify right side
    432,702.72x = 144,310,501,269.50
  5. Step 5: Solve for x
    x = 144,310,501,269.50/432,702.72
  6. Step 6: Final answer
    x = 333,509.58

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.