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Finding the Fourth Proportional to 650,328.64, 975,668.28 and 271,123.36

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Solution

The fourth proportional to 650,328.64, 975,668.28 and 271,123.36 is: 406,758.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    650,328.64 : 975,668.28 = 271,123.36 : x
  2. Step 2: Convert to fraction form
    650,328.64/975,668.28 = 271,123.36/x
  3. Step 3: Cross multiply
    650,328.64x = 975,668.28 × 271,123.36
  4. Step 4: Simplify right side
    650,328.64x = 264,526,462,319.02
  5. Step 5: Solve for x
    x = 264,526,462,319.02/650,328.64
  6. Step 6: Final answer
    x = 406,758.13

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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.