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Finding the Fourth Proportional to 974,734.70, 1,462,102.05 and 413,696.30

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Solution

The fourth proportional to 974,734.70, 1,462,102.05 and 413,696.30 is: 620,544.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    974,734.70 : 1,462,102.05 = 413,696.30 : x
  2. Step 2: Convert to fraction form
    974,734.70/1,462,102.05 = 413,696.30/x
  3. Step 3: Cross multiply
    974,734.70x = 1,462,102.05 × 413,696.30
  4. Step 4: Simplify right side
    974,734.70x = 604,866,208,307.42
  5. Step 5: Solve for x
    x = 604,866,208,307.42/974,734.70
  6. Step 6: Final answer
    x = 620,544.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.