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Finding the Fourth Proportional to 462,068.40, 693,005.40 and 195,837.60

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Solution

The fourth proportional to 462,068.40, 693,005.40 and 195,837.60 is: 293,715.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,068.40 : 693,005.40 = 195,837.60 : x
  2. Step 2: Convert to fraction form
    462,068.40/693,005.40 = 195,837.60/x
  3. Step 3: Cross multiply
    462,068.40x = 693,005.40 × 195,837.60
  4. Step 4: Simplify right side
    462,068.40x = 135,716,514,323.04
  5. Step 5: Solve for x
    x = 135,716,514,323.04/462,068.40
  6. Step 6: Final answer
    x = 293,715.20

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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.