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Finding the Fourth Proportional to 601,894.49, 830,477.97 and 408,328.58

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Solution

The fourth proportional to 601,894.49, 830,477.97 and 408,328.58 is: 563,400.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,894.49 : 830,477.97 = 408,328.58 : x
  2. Step 2: Convert to fraction form
    601,894.49/830,477.97 = 408,328.58/x
  3. Step 3: Cross multiply
    601,894.49x = 830,477.97 × 408,328.58
  4. Step 4: Simplify right side
    601,894.49x = 339,107,892,287.58
  5. Step 5: Solve for x
    x = 339,107,892,287.58/601,894.49
  6. Step 6: Final answer
    x = 563,400.90

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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.