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Finding the Fourth Proportional to 473,411.40, 710,520.30 and 193,129.80

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Solution

The fourth proportional to 473,411.40, 710,520.30 and 193,129.80 is: 289,859.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,411.40 : 710,520.30 = 193,129.80 : x
  2. Step 2: Convert to fraction form
    473,411.40/710,520.30 = 193,129.80/x
  3. Step 3: Cross multiply
    473,411.40x = 710,520.30 × 193,129.80
  4. Step 4: Simplify right side
    473,411.40x = 137,222,643,434.94
  5. Step 5: Solve for x
    x = 137,222,643,434.94/473,411.40
  6. Step 6: Final answer
    x = 289,859.19

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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.