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Finding the Fourth Proportional to 783,306, 1,080,968.88 and 425,610

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Solution

The fourth proportional to 783,306, 1,080,968.88 and 425,610 is: 587,345.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    783,306 : 1,080,968.88 = 425,610 : x
  2. Step 2: Convert to fraction form
    783,306/1,080,968.88 = 425,610/x
  3. Step 3: Cross multiply
    783,306x = 1,080,968.88 × 425,610
  4. Step 4: Simplify right side
    783,306x = 460,071,165,016.80
  5. Step 5: Solve for x
    x = 460,071,165,016.80/783,306
  6. Step 6: Final answer
    x = 587,345.39

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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.