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Finding the Fourth Proportional to 562,651.98, 776,821.86 and 502,118.64

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Solution

The fourth proportional to 562,651.98, 776,821.86 and 502,118.64 is: 693,246.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    562,651.98 : 776,821.86 = 502,118.64 : x
  2. Step 2: Convert to fraction form
    562,651.98/776,821.86 = 502,118.64/x
  3. Step 3: Cross multiply
    562,651.98x = 776,821.86 × 502,118.64
  4. Step 4: Simplify right side
    562,651.98x = 390,056,735,865.47
  5. Step 5: Solve for x
    x = 390,056,735,865.47/562,651.98
  6. Step 6: Final answer
    x = 693,246.89

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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.