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Finding the Fourth Proportional to 830,520.80, 1,165,878.40 and 830,520.80

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Solution

The fourth proportional to 830,520.80, 1,165,878.40 and 830,520.80 is: 1,165,878.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    830,520.80 : 1,165,878.40 = 830,520.80 : x
  2. Step 2: Convert to fraction form
    830,520.80/1,165,878.40 = 830,520.80/x
  3. Step 3: Cross multiply
    830,520.80x = 1,165,878.40 × 830,520.80
  4. Step 4: Simplify right side
    830,520.80x = 968,286,261,470.72
  5. Step 5: Solve for x
    x = 968,286,261,470.72/830,520.80
  6. Step 6: Final answer
    x = 1,165,878.40

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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.