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Finding the Fourth Proportional to 709,878.80, 1,065,109.80 and 260,814.80

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Solution

The fourth proportional to 709,878.80, 1,065,109.80 and 260,814.80 is: 391,329.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    709,878.80 : 1,065,109.80 = 260,814.80 : x
  2. Step 2: Convert to fraction form
    709,878.80/1,065,109.80 = 260,814.80/x
  3. Step 3: Cross multiply
    709,878.80x = 1,065,109.80 × 260,814.80
  4. Step 4: Simplify right side
    709,878.80x = 277,796,399,465.04
  5. Step 5: Solve for x
    x = 277,796,399,465.04/709,878.80
  6. Step 6: Final answer
    x = 391,329.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.