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Finding the Fourth Proportional to 562,653.98, 776,824.62 and 502,120.64

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Solution

The fourth proportional to 562,653.98, 776,824.62 and 502,120.64 is: 693,249.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    562,653.98 : 776,824.62 = 502,120.64 : x
  2. Step 2: Convert to fraction form
    562,653.98/776,824.62 = 502,120.64/x
  3. Step 3: Cross multiply
    562,653.98x = 776,824.62 × 502,120.64
  4. Step 4: Simplify right side
    562,653.98x = 390,059,675,362.16
  5. Step 5: Solve for x
    x = 390,059,675,362.16/562,653.98
  6. Step 6: Final answer
    x = 693,249.65

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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.