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Finding the Fourth Proportional to 702,063.65, 968,540.11 and 411,527.93

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Solution

The fourth proportional to 702,063.65, 968,540.11 and 411,527.93 is: 567,728.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,063.65 : 968,540.11 = 411,527.93 : x
  2. Step 2: Convert to fraction form
    702,063.65/968,540.11 = 411,527.93/x
  3. Step 3: Cross multiply
    702,063.65x = 968,540.11 × 411,527.93
  4. Step 4: Simplify right side
    702,063.65x = 398,581,301,876.17
  5. Step 5: Solve for x
    x = 398,581,301,876.17/702,063.65
  6. Step 6: Final answer
    x = 567,728.15

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.