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Finding the Fourth Proportional to 685,130.16, 945,415.58 and 409,433.32

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Solution

The fourth proportional to 685,130.16, 945,415.58 and 409,433.32 is: 564,979.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    685,130.16 : 945,415.58 = 409,433.32 : x
  2. Step 2: Convert to fraction form
    685,130.16/945,415.58 = 409,433.32/x
  3. Step 3: Cross multiply
    685,130.16x = 945,415.58 × 409,433.32
  4. Step 4: Simplify right side
    685,130.16x = 387,084,639,699.13
  5. Step 5: Solve for x
    x = 387,084,639,699.13/685,130.16
  6. Step 6: Final answer
    x = 564,979.71

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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.