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Finding the Fourth Proportional to 562,968.69, 776,703.87 and 321,077.31

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Solution

The fourth proportional to 562,968.69, 776,703.87 and 321,077.31 is: 442,976.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    562,968.69 : 776,703.87 = 321,077.31 : x
  2. Step 2: Convert to fraction form
    562,968.69/776,703.87 = 321,077.31/x
  3. Step 3: Cross multiply
    562,968.69x = 776,703.87 × 321,077.31
  4. Step 4: Simplify right side
    562,968.69x = 249,381,989,246.19
  5. Step 5: Solve for x
    x = 249,381,989,246.19/562,968.69
  6. Step 6: Final answer
    x = 442,976.66

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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.