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Finding the Fourth Proportional to 503,477.64, 754,994.88 and 266,765.76

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Solution

The fourth proportional to 503,477.64, 754,994.88 and 266,765.76 is: 400,031.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    503,477.64 : 754,994.88 = 266,765.76 : x
  2. Step 2: Convert to fraction form
    503,477.64/754,994.88 = 266,765.76/x
  3. Step 3: Cross multiply
    503,477.64x = 754,994.88 × 266,765.76
  4. Step 4: Simplify right side
    503,477.64x = 201,406,782,959.31
  5. Step 5: Solve for x
    x = 201,406,782,959.31/503,477.64
  6. Step 6: Final answer
    x = 400,031.24

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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.