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Finding the Fourth Proportional to 702,064.65, 968,541.49 and 411,528.93

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Solution

The fourth proportional to 702,064.65, 968,541.49 and 411,528.93 is: 567,729.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,064.65 : 968,541.49 = 411,528.93 : x
  2. Step 2: Convert to fraction form
    702,064.65/968,541.49 = 411,528.93/x
  3. Step 3: Cross multiply
    702,064.65x = 968,541.49 × 411,528.93
  4. Step 4: Simplify right side
    702,064.65x = 398,582,843,040.31
  5. Step 5: Solve for x
    x = 398,582,843,040.31/702,064.65
  6. Step 6: Final answer
    x = 567,729.54

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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.