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Finding the Fourth Proportional to 562,122.32, 842,808.94 and 309,521.72

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Solution

The fourth proportional to 562,122.32, 842,808.94 and 309,521.72 is: 464,076.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    562,122.32 : 842,808.94 = 309,521.72 : x
  2. Step 2: Convert to fraction form
    562,122.32/842,808.94 = 309,521.72/x
  3. Step 3: Cross multiply
    562,122.32x = 842,808.94 × 309,521.72
  4. Step 4: Simplify right side
    562,122.32x = 260,867,674,073.40
  5. Step 5: Solve for x
    x = 260,867,674,073.40/562,122.32
  6. Step 6: Final answer
    x = 464,076.35

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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.