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Finding the Fourth Proportional to 517,349.04, 713,934.36 and 290,994

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Solution

The fourth proportional to 517,349.04, 713,934.36 and 290,994 is: 401,567.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,349.04 : 713,934.36 = 290,994 : x
  2. Step 2: Convert to fraction form
    517,349.04/713,934.36 = 290,994/x
  3. Step 3: Cross multiply
    517,349.04x = 713,934.36 × 290,994
  4. Step 4: Simplify right side
    517,349.04x = 207,750,615,153.84
  5. Step 5: Solve for x
    x = 207,750,615,153.84/517,349.04
  6. Step 6: Final answer
    x = 401,567.61

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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.