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Finding the Fourth Proportional to 476,699.93, 714,441.77 and 223,421.64

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Solution

The fourth proportional to 476,699.93, 714,441.77 and 223,421.64 is: 334,847.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,699.93 : 714,441.77 = 223,421.64 : x
  2. Step 2: Convert to fraction form
    476,699.93/714,441.77 = 223,421.64/x
  3. Step 3: Cross multiply
    476,699.93x = 714,441.77 × 223,421.64
  4. Step 4: Simplify right side
    476,699.93x = 159,621,748,979.47
  5. Step 5: Solve for x
    x = 159,621,748,979.47/476,699.93
  6. Step 6: Final answer
    x = 334,847.44

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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.