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Finding the Fourth Proportional to 461,415.60, 692,123.40 and 283,345.20

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Solution

The fourth proportional to 461,415.60, 692,123.40 and 283,345.20 is: 425,017.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,415.60 : 692,123.40 = 283,345.20 : x
  2. Step 2: Convert to fraction form
    461,415.60/692,123.40 = 283,345.20/x
  3. Step 3: Cross multiply
    461,415.60x = 692,123.40 × 283,345.20
  4. Step 4: Simplify right side
    461,415.60x = 196,109,843,197.68
  5. Step 5: Solve for x
    x = 196,109,843,197.68/461,415.60
  6. Step 6: Final answer
    x = 425,017.80

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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.