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Finding the Fourth Proportional to 428,897.80, 643,152.30 and 162,569.80

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Solution

The fourth proportional to 428,897.80, 643,152.30 and 162,569.80 is: 243,781.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,897.80 : 643,152.30 = 162,569.80 : x
  2. Step 2: Convert to fraction form
    428,897.80/643,152.30 = 162,569.80/x
  3. Step 3: Cross multiply
    428,897.80x = 643,152.30 × 162,569.80
  4. Step 4: Simplify right side
    428,897.80x = 104,557,140,780.54
  5. Step 5: Solve for x
    x = 104,557,140,780.54/428,897.80
  6. Step 6: Final answer
    x = 243,781.01

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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.