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Finding the Fourth Proportional to 562,530.12, 776,293.65 and 304,407.09

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Solution

The fourth proportional to 562,530.12, 776,293.65 and 304,407.09 is: 420,082.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    562,530.12 : 776,293.65 = 304,407.09 : x
  2. Step 2: Convert to fraction form
    562,530.12/776,293.65 = 304,407.09/x
  3. Step 3: Cross multiply
    562,530.12x = 776,293.65 × 304,407.09
  4. Step 4: Simplify right side
    562,530.12x = 236,309,290,981.98
  5. Step 5: Solve for x
    x = 236,309,290,981.98/562,530.12
  6. Step 6: Final answer
    x = 420,082.91

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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.