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Finding the Fourth Proportional to 502,910.25, 749,627.64 and 462,554.01

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Solution

The fourth proportional to 502,910.25, 749,627.64 and 462,554.01 is: 689,473.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,910.25 : 749,627.64 = 462,554.01 : x
  2. Step 2: Convert to fraction form
    502,910.25/749,627.64 = 462,554.01/x
  3. Step 3: Cross multiply
    502,910.25x = 749,627.64 × 462,554.01
  4. Step 4: Simplify right side
    502,910.25x = 346,743,270,888.84
  5. Step 5: Solve for x
    x = 346,743,270,888.84/502,910.25
  6. Step 6: Final answer
    x = 689,473.46

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.