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Finding the Fourth Proportional to 421,430.40, 632,145.60 and 417,493.80

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Solution

The fourth proportional to 421,430.40, 632,145.60 and 417,493.80 is: 626,240.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,430.40 : 632,145.60 = 417,493.80 : x
  2. Step 2: Convert to fraction form
    421,430.40/632,145.60 = 417,493.80/x
  3. Step 3: Cross multiply
    421,430.40x = 632,145.60 × 417,493.80
  4. Step 4: Simplify right side
    421,430.40x = 263,916,868,697.28
  5. Step 5: Solve for x
    x = 263,916,868,697.28/421,430.40
  6. Step 6: Final answer
    x = 626,240.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.