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Finding the Fourth Proportional to 501,416.46, 749,978.20 and 465,071.25

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Solution

The fourth proportional to 501,416.46, 749,978.20 and 465,071.25 is: 695,615.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,416.46 : 749,978.20 = 465,071.25 : x
  2. Step 2: Convert to fraction form
    501,416.46/749,978.20 = 465,071.25/x
  3. Step 3: Cross multiply
    501,416.46x = 749,978.20 × 465,071.25
  4. Step 4: Simplify right side
    501,416.46x = 348,793,300,821.70
  5. Step 5: Solve for x
    x = 348,793,300,821.70/501,416.46
  6. Step 6: Final answer
    x = 695,615.98

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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.