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Finding the Fourth Proportional to 507,473.39, 761,275.76 and 152,523.29

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Solution

The fourth proportional to 507,473.39, 761,275.76 and 152,523.29 is: 228,804.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,473.39 : 761,275.76 = 152,523.29 : x
  2. Step 2: Convert to fraction form
    507,473.39/761,275.76 = 152,523.29/x
  3. Step 3: Cross multiply
    507,473.39x = 761,275.76 × 152,523.29
  4. Step 4: Simplify right side
    507,473.39x = 116,112,278,943.46
  5. Step 5: Solve for x
    x = 116,112,278,943.46/507,473.39
  6. Step 6: Final answer
    x = 228,804.67

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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.