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Finding the Fourth Proportional to 601,744.94, 830,417.10 and 329,810.66

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Solution

The fourth proportional to 601,744.94, 830,417.10 and 329,810.66 is: 455,143.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,744.94 : 830,417.10 = 329,810.66 : x
  2. Step 2: Convert to fraction form
    601,744.94/830,417.10 = 329,810.66/x
  3. Step 3: Cross multiply
    601,744.94x = 830,417.10 × 329,810.66
  4. Step 4: Simplify right side
    601,744.94x = 273,880,411,826.29
  5. Step 5: Solve for x
    x = 273,880,411,826.29/601,744.94
  6. Step 6: Final answer
    x = 455,143.69

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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.