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Finding the Fourth Proportional to 506,705.22, 759,970.35 and 151,623.90

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Solution

The fourth proportional to 506,705.22, 759,970.35 and 151,623.90 is: 227,409.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,705.22 : 759,970.35 = 151,623.90 : x
  2. Step 2: Convert to fraction form
    506,705.22/759,970.35 = 151,623.90/x
  3. Step 3: Cross multiply
    506,705.22x = 759,970.35 × 151,623.90
  4. Step 4: Simplify right side
    506,705.22x = 115,229,668,351.37
  5. Step 5: Solve for x
    x = 115,229,668,351.37/506,705.22
  6. Step 6: Final answer
    x = 227,409.67

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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.