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Finding the Fourth Proportional to 771,693.96, 1,064,945.16 and 427,537.20

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Solution

The fourth proportional to 771,693.96, 1,064,945.16 and 427,537.20 is: 590,005.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    771,693.96 : 1,064,945.16 = 427,537.20 : x
  2. Step 2: Convert to fraction form
    771,693.96/1,064,945.16 = 427,537.20/x
  3. Step 3: Cross multiply
    771,693.96x = 1,064,945.16 × 427,537.20
  4. Step 4: Simplify right side
    771,693.96x = 455,303,671,859.95
  5. Step 5: Solve for x
    x = 455,303,671,859.95/771,693.96
  6. Step 6: Final answer
    x = 590,005.49

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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.