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Finding the Fourth Proportional to 287,533.88, 430,644.72 and 253,897.82

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Solution

The fourth proportional to 287,533.88, 430,644.72 and 253,897.82 is: 380,267.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,533.88 : 430,644.72 = 253,897.82 : x
  2. Step 2: Convert to fraction form
    287,533.88/430,644.72 = 253,897.82/x
  3. Step 3: Cross multiply
    287,533.88x = 430,644.72 × 253,897.82
  4. Step 4: Simplify right side
    287,533.88x = 109,339,755,602.51
  5. Step 5: Solve for x
    x = 109,339,755,602.51/287,533.88
  6. Step 6: Final answer
    x = 380,267.38

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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.