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Finding the Fourth Proportional to 460,493, 691,133.16 and 180,207.08

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Solution

The fourth proportional to 460,493, 691,133.16 and 180,207.08 is: 270,464.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,493 : 691,133.16 = 180,207.08 : x
  2. Step 2: Convert to fraction form
    460,493/691,133.16 = 180,207.08/x
  3. Step 3: Cross multiply
    460,493x = 691,133.16 × 180,207.08
  4. Step 4: Simplify right side
    460,493x = 124,547,088,654.77
  5. Step 5: Solve for x
    x = 124,547,088,654.77/460,493
  6. Step 6: Final answer
    x = 270,464.67

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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.