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Finding the Fourth Proportional to 473,696.81, 710,548.29 and 189,411.24

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Solution

The fourth proportional to 473,696.81, 710,548.29 and 189,411.24 is: 284,118.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,696.81 : 710,548.29 = 189,411.24 : x
  2. Step 2: Convert to fraction form
    473,696.81/710,548.29 = 189,411.24/x
  3. Step 3: Cross multiply
    473,696.81x = 710,548.29 × 189,411.24
  4. Step 4: Simplify right side
    473,696.81x = 134,585,833,588.16
  5. Step 5: Solve for x
    x = 134,585,833,588.16/473,696.81
  6. Step 6: Final answer
    x = 284,118.09

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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.