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Finding the Fourth Proportional to 287,702.70, 432,007.65 and 169,464.30

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Solution

The fourth proportional to 287,702.70, 432,007.65 and 169,464.30 is: 254,463.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,702.70 : 432,007.65 = 169,464.30 : x
  2. Step 2: Convert to fraction form
    287,702.70/432,007.65 = 169,464.30/x
  3. Step 3: Cross multiply
    287,702.70x = 432,007.65 × 169,464.30
  4. Step 4: Simplify right side
    287,702.70x = 73,209,874,001.90
  5. Step 5: Solve for x
    x = 73,209,874,001.90/287,702.70
  6. Step 6: Final answer
    x = 254,463.63

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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.