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Finding the Fourth Proportional to 517,005.94, 713,570.58 and 335,463.06

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Solution

The fourth proportional to 517,005.94, 713,570.58 and 335,463.06 is: 463,005.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,005.94 : 713,570.58 = 335,463.06 : x
  2. Step 2: Convert to fraction form
    517,005.94/713,570.58 = 335,463.06/x
  3. Step 3: Cross multiply
    517,005.94x = 713,570.58 × 335,463.06
  4. Step 4: Simplify right side
    517,005.94x = 239,376,570,292.78
  5. Step 5: Solve for x
    x = 239,376,570,292.78/517,005.94
  6. Step 6: Final answer
    x = 463,005.45

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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.