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Finding the Fourth Proportional to 343,080.04, 514,595.40 and 106,416.60

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Solution

The fourth proportional to 343,080.04, 514,595.40 and 106,416.60 is: 159,617.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,080.04 : 514,595.40 = 106,416.60 : x
  2. Step 2: Convert to fraction form
    343,080.04/514,595.40 = 106,416.60/x
  3. Step 3: Cross multiply
    343,080.04x = 514,595.40 × 106,416.60
  4. Step 4: Simplify right side
    343,080.04x = 54,761,492,843.64
  5. Step 5: Solve for x
    x = 54,761,492,843.64/343,080.04
  6. Step 6: Final answer
    x = 159,617.25

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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.