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Finding the Fourth Proportional to 473,386.84, 710,086.56 and 157,843.90

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Solution

The fourth proportional to 473,386.84, 710,086.56 and 157,843.90 is: 236,767.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,386.84 : 710,086.56 = 157,843.90 : x
  2. Step 2: Convert to fraction form
    473,386.84/710,086.56 = 157,843.90/x
  3. Step 3: Cross multiply
    473,386.84x = 710,086.56 × 157,843.90
  4. Step 4: Simplify right side
    473,386.84x = 112,082,831,967.98
  5. Step 5: Solve for x
    x = 112,082,831,967.98/473,386.84
  6. Step 6: Final answer
    x = 236,767.95

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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.