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Finding the Fourth Proportional to 930,996, 1,284,774.48 and 507,060

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Solution

The fourth proportional to 930,996, 1,284,774.48 and 507,060 is: 699,742.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    930,996 : 1,284,774.48 = 507,060 : x
  2. Step 2: Convert to fraction form
    930,996/1,284,774.48 = 507,060/x
  3. Step 3: Cross multiply
    930,996x = 1,284,774.48 × 507,060
  4. Step 4: Simplify right side
    930,996x = 651,457,747,828.80
  5. Step 5: Solve for x
    x = 651,457,747,828.80/930,996
  6. Step 6: Final answer
    x = 699,742.80

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.