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Finding the Fourth Proportional to 601,061, 829,490.10 and 332,789

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Solution

The fourth proportional to 601,061, 829,490.10 and 332,789 is: 459,263.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,061 : 829,490.10 = 332,789 : x
  2. Step 2: Convert to fraction form
    601,061/829,490.10 = 332,789/x
  3. Step 3: Cross multiply
    601,061x = 829,490.10 × 332,789
  4. Step 4: Simplify right side
    601,061x = 276,045,180,888.90
  5. Step 5: Solve for x
    x = 276,045,180,888.90/601,061
  6. Step 6: Final answer
    x = 459,263.17

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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.