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Finding the Fourth Proportional to 709,116.95, 978,595.28 and 386,839.01

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Solution

The fourth proportional to 709,116.95, 978,595.28 and 386,839.01 is: 533,845.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    709,116.95 : 978,595.28 = 386,839.01 : x
  2. Step 2: Convert to fraction form
    709,116.95/978,595.28 = 386,839.01/x
  3. Step 3: Cross multiply
    709,116.95x = 978,595.28 × 386,839.01
  4. Step 4: Simplify right side
    709,116.95x = 378,558,822,478.70
  5. Step 5: Solve for x
    x = 378,558,822,478.70/709,116.95
  6. Step 6: Final answer
    x = 533,845.40

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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.