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Finding the Fourth Proportional to 492,097.60, 738,146.40 and 429,889.60

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Solution

The fourth proportional to 492,097.60, 738,146.40 and 429,889.60 is: 644,834.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,097.60 : 738,146.40 = 429,889.60 : x
  2. Step 2: Convert to fraction form
    492,097.60/738,146.40 = 429,889.60/x
  3. Step 3: Cross multiply
    492,097.60x = 738,146.40 × 429,889.60
  4. Step 4: Simplify right side
    492,097.60x = 317,321,460,637.44
  5. Step 5: Solve for x
    x = 317,321,460,637.44/492,097.60
  6. Step 6: Final answer
    x = 644,834.40

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Similar ratio
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1.5x scale

Why These Related Problems?

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