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Finding the Fourth Proportional to 283,459.96, 425,184.74 and 70,228.33

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Solution

The fourth proportional to 283,459.96, 425,184.74 and 70,228.33 is: 105,341.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,459.96 : 425,184.74 = 70,228.33 : x
  2. Step 2: Convert to fraction form
    283,459.96/425,184.74 = 70,228.33/x
  3. Step 3: Cross multiply
    283,459.96x = 425,184.74 × 70,228.33
  4. Step 4: Simplify right side
    283,459.96x = 29,860,011,754.62
  5. Step 5: Solve for x
    x = 29,860,011,754.62/283,459.96
  6. Step 6: Final answer
    x = 105,341.20

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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.