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Finding the Fourth Proportional to 496,501.76, 744,752.60 and 141,506.55

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Solution

The fourth proportional to 496,501.76, 744,752.60 and 141,506.55 is: 212,259.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,501.76 : 744,752.60 = 141,506.55 : x
  2. Step 2: Convert to fraction form
    496,501.76/744,752.60 = 141,506.55/x
  3. Step 3: Cross multiply
    496,501.76x = 744,752.60 × 141,506.55
  4. Step 4: Simplify right side
    496,501.76x = 105,387,370,322.00
  5. Step 5: Solve for x
    x = 105,387,370,322.00/496,501.76
  6. Step 6: Final answer
    x = 212,259.81

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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.