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Finding the Fourth Proportional to 429,395.14, 591,590.46 and 332,264.98

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Solution

The fourth proportional to 429,395.14, 591,590.46 and 332,264.98 is: 457,771.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,395.14 : 591,590.46 = 332,264.98 : x
  2. Step 2: Convert to fraction form
    429,395.14/591,590.46 = 332,264.98/x
  3. Step 3: Cross multiply
    429,395.14x = 591,590.46 × 332,264.98
  4. Step 4: Simplify right side
    429,395.14x = 196,564,792,360.09
  5. Step 5: Solve for x
    x = 196,564,792,360.09/429,395.14
  6. Step 6: Final answer
    x = 457,771.35

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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.