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Finding the Fourth Proportional to 469,012.80, 703,000.80 and 258,801.60

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Solution

The fourth proportional to 469,012.80, 703,000.80 and 258,801.60 is: 387,916.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,012.80 : 703,000.80 = 258,801.60 : x
  2. Step 2: Convert to fraction form
    469,012.80/703,000.80 = 258,801.60/x
  3. Step 3: Cross multiply
    469,012.80x = 703,000.80 × 258,801.60
  4. Step 4: Simplify right side
    469,012.80x = 181,937,731,841.28
  5. Step 5: Solve for x
    x = 181,937,731,841.28/469,012.80
  6. Step 6: Final answer
    x = 387,916.35

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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.