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Finding the Fourth Proportional to 374,940.32, 562,463.92 and 138,264.64

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Solution

The fourth proportional to 374,940.32, 562,463.92 and 138,264.64 is: 207,416.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,940.32 : 562,463.92 = 138,264.64 : x
  2. Step 2: Convert to fraction form
    374,940.32/562,463.92 = 138,264.64/x
  3. Step 3: Cross multiply
    374,940.32x = 562,463.92 × 138,264.64
  4. Step 4: Simplify right side
    374,940.32x = 77,768,871,411.79
  5. Step 5: Solve for x
    x = 77,768,871,411.79/374,940.32
  6. Step 6: Final answer
    x = 207,416.67

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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.