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Finding the Fourth Proportional to 791,328, 1,092,032.64 and 433,632

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Solution

The fourth proportional to 791,328, 1,092,032.64 and 433,632 is: 598,412.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    791,328 : 1,092,032.64 = 433,632 : x
  2. Step 2: Convert to fraction form
    791,328/1,092,032.64 = 433,632/x
  3. Step 3: Cross multiply
    791,328x = 1,092,032.64 × 433,632
  4. Step 4: Simplify right side
    791,328x = 473,540,297,748.48
  5. Step 5: Solve for x
    x = 473,540,297,748.48/791,328
  6. Step 6: Final answer
    x = 598,412.16

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