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Finding the Fourth Proportional to 507,461.24, 700,296.50 and 281,106.74

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Solution

The fourth proportional to 507,461.24, 700,296.50 and 281,106.74 is: 387,927.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,461.24 : 700,296.50 = 281,106.74 : x
  2. Step 2: Convert to fraction form
    507,461.24/700,296.50 = 281,106.74/x
  3. Step 3: Cross multiply
    507,461.24x = 700,296.50 × 281,106.74
  4. Step 4: Simplify right side
    507,461.24x = 196,858,061,241.39
  5. Step 5: Solve for x
    x = 196,858,061,241.39/507,461.24
  6. Step 6: Final answer
    x = 387,927.29

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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.