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Finding the Fourth Proportional to 413,317.88, 619,399.40 and 223,368.74

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Solution

The fourth proportional to 413,317.88, 619,399.40 and 223,368.74 is: 334,741.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,317.88 : 619,399.40 = 223,368.74 : x
  2. Step 2: Convert to fraction form
    413,317.88/619,399.40 = 223,368.74/x
  3. Step 3: Cross multiply
    413,317.88x = 619,399.40 × 223,368.74
  4. Step 4: Simplify right side
    413,317.88x = 138,354,463,534.76
  5. Step 5: Solve for x
    x = 138,354,463,534.76/413,317.88
  6. Step 6: Final answer
    x = 334,741.06

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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.