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Finding the Fourth Proportional to 382,852.98, 574,305.84 and 130,030.29

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Solution

The fourth proportional to 382,852.98, 574,305.84 and 130,030.29 is: 195,054.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,852.98 : 574,305.84 = 130,030.29 : x
  2. Step 2: Convert to fraction form
    382,852.98/574,305.84 = 130,030.29/x
  3. Step 3: Cross multiply
    382,852.98x = 574,305.84 × 130,030.29
  4. Step 4: Simplify right side
    382,852.98x = 74,677,154,923.89
  5. Step 5: Solve for x
    x = 74,677,154,923.89/382,852.98
  6. Step 6: Final answer
    x = 195,054.39

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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.