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Finding the Fourth Proportional to 473,812.98, 710,690.19 and 158,243.46

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Solution

The fourth proportional to 473,812.98, 710,690.19 and 158,243.46 is: 237,355.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,812.98 : 710,690.19 = 158,243.46 : x
  2. Step 2: Convert to fraction form
    473,812.98/710,690.19 = 158,243.46/x
  3. Step 3: Cross multiply
    473,812.98x = 710,690.19 × 158,243.46
  4. Step 4: Simplify right side
    473,812.98x = 112,462,074,653.66
  5. Step 5: Solve for x
    x = 112,462,074,653.66/473,812.98
  6. Step 6: Final answer
    x = 237,355.41

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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.