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Finding the Fourth Proportional to 508,507.23, 762,884.16 and 153,500.04

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Solution

The fourth proportional to 508,507.23, 762,884.16 and 153,500.04 is: 230,287.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,507.23 : 762,884.16 = 153,500.04 : x
  2. Step 2: Convert to fraction form
    508,507.23/762,884.16 = 153,500.04/x
  3. Step 3: Cross multiply
    508,507.23x = 762,884.16 × 153,500.04
  4. Step 4: Simplify right side
    508,507.23x = 117,102,749,075.37
  5. Step 5: Solve for x
    x = 117,102,749,075.37/508,507.23
  6. Step 6: Final answer
    x = 230,287.28

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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.