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Finding the Fourth Proportional to 601,328.48, 829,806.12 and 359,744.26

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Solution

The fourth proportional to 601,328.48, 829,806.12 and 359,744.26 is: 496,430.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,328.48 : 829,806.12 = 359,744.26 : x
  2. Step 2: Convert to fraction form
    601,328.48/829,806.12 = 359,744.26/x
  3. Step 3: Cross multiply
    601,328.48x = 829,806.12 × 359,744.26
  4. Step 4: Simplify right side
    601,328.48x = 298,517,988,582.87
  5. Step 5: Solve for x
    x = 298,517,988,582.87/601,328.48
  6. Step 6: Final answer
    x = 496,430.82

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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.