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Finding the Fourth Proportional to 473,980.60, 711,068.10 and 158,663.80

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Solution

The fourth proportional to 473,980.60, 711,068.10 and 158,663.80 is: 238,028.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,980.60 : 711,068.10 = 158,663.80 : x
  2. Step 2: Convert to fraction form
    473,980.60/711,068.10 = 158,663.80/x
  3. Step 3: Cross multiply
    473,980.60x = 711,068.10 × 158,663.80
  4. Step 4: Simplify right side
    473,980.60x = 112,820,766,804.78
  5. Step 5: Solve for x
    x = 112,820,766,804.78/473,980.60
  6. Step 6: Final answer
    x = 238,028.24

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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.