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Finding the Fourth Proportional to 601,466.07, 829,894.01 and 356,528.06

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Solution

The fourth proportional to 601,466.07, 829,894.01 and 356,528.06 is: 491,932.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,466.07 : 829,894.01 = 356,528.06 : x
  2. Step 2: Convert to fraction form
    601,466.07/829,894.01 = 356,528.06/x
  3. Step 3: Cross multiply
    601,466.07x = 829,894.01 × 356,528.06
  4. Step 4: Simplify right side
    601,466.07x = 295,880,495,458.81
  5. Step 5: Solve for x
    x = 295,880,495,458.81/601,466.07
  6. Step 6: Final answer
    x = 491,932.15

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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.