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Finding the Fourth Proportional to 685,127.16, 945,411.44 and 409,430.32

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Solution

The fourth proportional to 685,127.16, 945,411.44 and 409,430.32 is: 564,975.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    685,127.16 : 945,411.44 = 409,430.32 : x
  2. Step 2: Convert to fraction form
    685,127.16/945,411.44 = 409,430.32/x
  3. Step 3: Cross multiply
    685,127.16x = 945,411.44 × 409,430.32
  4. Step 4: Simplify right side
    685,127.16x = 387,080,108,410.86
  5. Step 5: Solve for x
    x = 387,080,108,410.86/685,127.16
  6. Step 6: Final answer
    x = 564,975.57

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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.