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Finding the Fourth Proportional to 1,386,914.22, 1,913,979.51 and 783,302.22

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Solution

The fourth proportional to 1,386,914.22, 1,913,979.51 and 783,302.22 is: 1,080,978.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,386,914.22 : 1,913,979.51 = 783,302.22 : x
  2. Step 2: Convert to fraction form
    1,386,914.22/1,913,979.51 = 783,302.22/x
  3. Step 3: Cross multiply
    1,386,914.22x = 1,913,979.51 × 783,302.22
  4. Step 4: Simplify right side
    1,386,914.22x = 1,499,224,399,217.51
  5. Step 5: Solve for x
    x = 1,499,224,399,217.51/1,386,914.22
  6. Step 6: Final answer
    x = 1,080,978.46

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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.