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Finding the Fourth Proportional to 562,705.38, 842,063.04 and 496,274.85

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Solution

The fourth proportional to 562,705.38, 842,063.04 and 496,274.85 is: 742,652.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    562,705.38 : 842,063.04 = 496,274.85 : x
  2. Step 2: Convert to fraction form
    562,705.38/842,063.04 = 496,274.85/x
  3. Step 3: Cross multiply
    562,705.38x = 842,063.04 × 496,274.85
  4. Step 4: Simplify right side
    562,705.38x = 417,894,708,866.54
  5. Step 5: Solve for x
    x = 417,894,708,866.54/562,705.38
  6. Step 6: Final answer
    x = 742,652.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.