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Finding the Fourth Proportional to 830,519.80, 1,165,877 and 830,519.80

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Solution

The fourth proportional to 830,519.80, 1,165,877 and 830,519.80 is: 1,165,877

Step by Step Solution

  1. Step 1: Write the proportion equation
    830,519.80 : 1,165,877 = 830,519.80 : x
  2. Step 2: Convert to fraction form
    830,519.80/1,165,877 = 830,519.80/x
  3. Step 3: Cross multiply
    830,519.80x = 1,165,877 × 830,519.80
  4. Step 4: Simplify right side
    830,519.80x = 968,283,932,864.60
  5. Step 5: Solve for x
    x = 968,283,932,864.60/830,519.80
  6. Step 6: Final answer
    x = 1,165,877

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.