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Finding the Fourth Proportional to 709,116.45, 978,594.58 and 386,838.51

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Solution

The fourth proportional to 709,116.45, 978,594.58 and 386,838.51 is: 533,844.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    709,116.45 : 978,594.58 = 386,838.51 : x
  2. Step 2: Convert to fraction form
    709,116.45/978,594.58 = 386,838.51/x
  3. Step 3: Cross multiply
    709,116.45x = 978,594.58 × 386,838.51
  4. Step 4: Simplify right side
    709,116.45x = 378,558,069,221.28
  5. Step 5: Solve for x
    x = 378,558,069,221.28/709,116.45
  6. Step 6: Final answer
    x = 533,844.72

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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.