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Finding the Fourth Proportional to 472,177.05, 651,444.42 and 288,348.57

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Solution

The fourth proportional to 472,177.05, 651,444.42 and 288,348.57 is: 397,823.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,177.05 : 651,444.42 = 288,348.57 : x
  2. Step 2: Convert to fraction form
    472,177.05/651,444.42 = 288,348.57/x
  3. Step 3: Cross multiply
    472,177.05x = 651,444.42 × 288,348.57
  4. Step 4: Simplify right side
    472,177.05x = 187,843,066,941.48
  5. Step 5: Solve for x
    x = 187,843,066,941.48/472,177.05
  6. Step 6: Final answer
    x = 397,823.37

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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.