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Finding the Fourth Proportional to 461,451.60, 692,177.40 and 343,353.60

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Solution

The fourth proportional to 461,451.60, 692,177.40 and 343,353.60 is: 515,030.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,451.60 : 692,177.40 = 343,353.60 : x
  2. Step 2: Convert to fraction form
    461,451.60/692,177.40 = 343,353.60/x
  3. Step 3: Cross multiply
    461,451.60x = 692,177.40 × 343,353.60
  4. Step 4: Simplify right side
    461,451.60x = 237,661,602,128.64
  5. Step 5: Solve for x
    x = 237,661,602,128.64/461,451.60
  6. Step 6: Final answer
    x = 515,030.40

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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.