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Finding the Fourth Proportional to 528,706.68, 729,615.94 and 286,989.16

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Solution

The fourth proportional to 528,706.68, 729,615.94 and 286,989.16 is: 396,045.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    528,706.68 : 729,615.94 = 286,989.16 : x
  2. Step 2: Convert to fraction form
    528,706.68/729,615.94 = 286,989.16/x
  3. Step 3: Cross multiply
    528,706.68x = 729,615.94 × 286,989.16
  4. Step 4: Simplify right side
    528,706.68x = 209,391,865,743.21
  5. Step 5: Solve for x
    x = 209,391,865,743.21/528,706.68
  6. Step 6: Final answer
    x = 396,045.43

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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.