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Finding the Fourth Proportional to 471,330.72, 707,028.93 and 156,009.06

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Solution

The fourth proportional to 471,330.72, 707,028.93 and 156,009.06 is: 234,024.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,330.72 : 707,028.93 = 156,009.06 : x
  2. Step 2: Convert to fraction form
    471,330.72/707,028.93 = 156,009.06/x
  3. Step 3: Cross multiply
    471,330.72x = 707,028.93 × 156,009.06
  4. Step 4: Simplify right side
    471,330.72x = 110,302,918,762.11
  5. Step 5: Solve for x
    x = 110,302,918,762.11/471,330.72
  6. Step 6: Final answer
    x = 234,024.46

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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.