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Finding the Fourth Proportional to 473,574.72, 710,356.67 and 136,604.25

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Solution

The fourth proportional to 473,574.72, 710,356.67 and 136,604.25 is: 204,904.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,574.72 : 710,356.67 = 136,604.25 : x
  2. Step 2: Convert to fraction form
    473,574.72/710,356.67 = 136,604.25/x
  3. Step 3: Cross multiply
    473,574.72x = 710,356.67 × 136,604.25
  4. Step 4: Simplify right side
    473,574.72x = 97,037,743,143.20
  5. Step 5: Solve for x
    x = 97,037,743,143.20/473,574.72
  6. Step 6: Final answer
    x = 204,904.82

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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.