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Finding the Fourth Proportional to 473,083.20, 710,143.20 and 295,790.40

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Solution

The fourth proportional to 473,083.20, 710,143.20 and 295,790.40 is: 444,009.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,083.20 : 710,143.20 = 295,790.40 : x
  2. Step 2: Convert to fraction form
    473,083.20/710,143.20 = 295,790.40/x
  3. Step 3: Cross multiply
    473,083.20x = 710,143.20 × 295,790.40
  4. Step 4: Simplify right side
    473,083.20x = 210,053,541,185.28
  5. Step 5: Solve for x
    x = 210,053,541,185.28/473,083.20
  6. Step 6: Final answer
    x = 444,009.72

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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.