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Finding the Fourth Proportional to 541,435.14, 747,171.45 and 299,712.60

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Solution

The fourth proportional to 541,435.14, 747,171.45 and 299,712.60 is: 413,598.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,435.14 : 747,171.45 = 299,712.60 : x
  2. Step 2: Convert to fraction form
    541,435.14/747,171.45 = 299,712.60/x
  3. Step 3: Cross multiply
    541,435.14x = 747,171.45 × 299,712.60
  4. Step 4: Simplify right side
    541,435.14x = 223,936,697,925.27
  5. Step 5: Solve for x
    x = 223,936,697,925.27/541,435.14
  6. Step 6: Final answer
    x = 413,598.38

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Double scale
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1.5x scale

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.