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Finding the Fourth Proportional to 703,955.36, 971,203.82 and 462,368.90

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Solution

The fourth proportional to 703,955.36, 971,203.82 and 462,368.90 is: 637,901.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    703,955.36 : 971,203.82 = 462,368.90 : x
  2. Step 2: Convert to fraction form
    703,955.36/971,203.82 = 462,368.90/x
  3. Step 3: Cross multiply
    703,955.36x = 971,203.82 × 462,368.90
  4. Step 4: Simplify right side
    703,955.36x = 449,054,441,929.20
  5. Step 5: Solve for x
    x = 449,054,441,929.20/703,955.36
  6. Step 6: Final answer
    x = 637,901.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.