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Finding the Fourth Proportional to 473,653.80, 712,230.30 and 396,671.40

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Solution

The fourth proportional to 473,653.80, 712,230.30 and 396,671.40 is: 596,472.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,653.80 : 712,230.30 = 396,671.40 : x
  2. Step 2: Convert to fraction form
    473,653.80/712,230.30 = 396,671.40/x
  3. Step 3: Cross multiply
    473,653.80x = 712,230.30 × 396,671.40
  4. Step 4: Simplify right side
    473,653.80x = 282,521,390,223.42
  5. Step 5: Solve for x
    x = 282,521,390,223.42/473,653.80
  6. Step 6: Final answer
    x = 596,472.34

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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.