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Finding the Fourth Proportional to 650,221.32, 975,090 and 223,637.40

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Solution

The fourth proportional to 650,221.32, 975,090 and 223,637.40 is: 335,372.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    650,221.32 : 975,090 = 223,637.40 : x
  2. Step 2: Convert to fraction form
    650,221.32/975,090 = 223,637.40/x
  3. Step 3: Cross multiply
    650,221.32x = 975,090 × 223,637.40
  4. Step 4: Simplify right side
    650,221.32x = 218,066,592,366
  5. Step 5: Solve for x
    x = 218,066,592,366/650,221.32
  6. Step 6: Final answer
    x = 335,372.87

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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.