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Finding the Fourth Proportional to 405,191.16, 559,197.47 and 223,938.47

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Solution

The fourth proportional to 405,191.16, 559,197.47 and 223,938.47 is: 309,053.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,191.16 : 559,197.47 = 223,938.47 : x
  2. Step 2: Convert to fraction form
    405,191.16/559,197.47 = 223,938.47/x
  3. Step 3: Cross multiply
    405,191.16x = 559,197.47 × 223,938.47
  4. Step 4: Simplify right side
    405,191.16x = 125,225,827,817.51
  5. Step 5: Solve for x
    x = 125,225,827,817.51/405,191.16
  6. Step 6: Final answer
    x = 309,053.70

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.