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Finding the Fourth Proportional to 310,492.76, 466,064.85 and 275,180

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Solution

The fourth proportional to 310,492.76, 466,064.85 and 275,180 is: 413,058.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,492.76 : 466,064.85 = 275,180 : x
  2. Step 2: Convert to fraction form
    310,492.76/466,064.85 = 275,180/x
  3. Step 3: Cross multiply
    310,492.76x = 466,064.85 × 275,180
  4. Step 4: Simplify right side
    310,492.76x = 128,251,725,423
  5. Step 5: Solve for x
    x = 128,251,725,423/310,492.76
  6. Step 6: Final answer
    x = 413,058.67

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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.