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Finding the Fourth Proportional to 306,802.40, 460,235.02 and 117,422.04

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Solution

The fourth proportional to 306,802.40, 460,235.02 and 117,422.04 is: 176,145.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,802.40 : 460,235.02 = 117,422.04 : x
  2. Step 2: Convert to fraction form
    306,802.40/460,235.02 = 117,422.04/x
  3. Step 3: Cross multiply
    306,802.40x = 460,235.02 × 117,422.04
  4. Step 4: Simplify right side
    306,802.40x = 54,041,734,927.84
  5. Step 5: Solve for x
    x = 54,041,734,927.84/306,802.40
  6. Step 6: Final answer
    x = 176,145.09

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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.