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Finding the Fourth Proportional to 423,646.94, 584,630.85 and 230,053.10

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Solution

The fourth proportional to 423,646.94, 584,630.85 and 230,053.10 is: 317,472.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,646.94 : 584,630.85 = 230,053.10 : x
  2. Step 2: Convert to fraction form
    423,646.94/584,630.85 = 230,053.10/x
  3. Step 3: Cross multiply
    423,646.94x = 584,630.85 × 230,053.10
  4. Step 4: Simplify right side
    423,646.94x = 134,496,136,474.98
  5. Step 5: Solve for x
    x = 134,496,136,474.98/423,646.94
  6. Step 6: Final answer
    x = 317,472.22

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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.