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Finding the Fourth Proportional to 476,677.53, 714,670.16 and 223,827.93

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Solution

The fourth proportional to 476,677.53, 714,670.16 and 223,827.93 is: 335,579.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,677.53 : 714,670.16 = 223,827.93 : x
  2. Step 2: Convert to fraction form
    476,677.53/714,670.16 = 223,827.93/x
  3. Step 3: Cross multiply
    476,677.53x = 714,670.16 × 223,827.93
  4. Step 4: Simplify right side
    476,677.53x = 159,963,141,426.43
  5. Step 5: Solve for x
    x = 159,963,141,426.43/476,677.53
  6. Step 6: Final answer
    x = 335,579.36

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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.