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Finding the Fourth Proportional to 287,577.60, 431,362.35 and 129,805.80

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Solution

The fourth proportional to 287,577.60, 431,362.35 and 129,805.80 is: 194,706.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,577.60 : 431,362.35 = 129,805.80 : x
  2. Step 2: Convert to fraction form
    287,577.60/431,362.35 = 129,805.80/x
  3. Step 3: Cross multiply
    287,577.60x = 431,362.35 × 129,805.80
  4. Step 4: Simplify right side
    287,577.60x = 55,993,334,931.63
  5. Step 5: Solve for x
    x = 55,993,334,931.63/287,577.60
  6. Step 6: Final answer
    x = 194,706.87

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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.