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Finding the Fourth Proportional to 470,478.60, 705,744.95 and 133,492.88

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Solution

The fourth proportional to 470,478.60, 705,744.95 and 133,492.88 is: 200,247.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,478.60 : 705,744.95 = 133,492.88 : x
  2. Step 2: Convert to fraction form
    470,478.60/705,744.95 = 133,492.88/x
  3. Step 3: Cross multiply
    470,478.60x = 705,744.95 × 133,492.88
  4. Step 4: Simplify right side
    470,478.60x = 94,211,927,017.85
  5. Step 5: Solve for x
    x = 94,211,927,017.85/470,478.60
  6. Step 6: Final answer
    x = 200,247.00

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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.