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Finding the Fourth Proportional to 735,118.32, 1,014,459.44 and 412,842

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Solution

The fourth proportional to 735,118.32, 1,014,459.44 and 412,842 is: 569,719.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    735,118.32 : 1,014,459.44 = 412,842 : x
  2. Step 2: Convert to fraction form
    735,118.32/1,014,459.44 = 412,842/x
  3. Step 3: Cross multiply
    735,118.32x = 1,014,459.44 × 412,842
  4. Step 4: Simplify right side
    735,118.32x = 418,811,464,128.48
  5. Step 5: Solve for x
    x = 418,811,464,128.48/735,118.32
  6. Step 6: Final answer
    x = 569,719.80

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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.