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Finding the Fourth Proportional to 513,773.04, 770,459.88 and 176,749.68

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Solution

The fourth proportional to 513,773.04, 770,459.88 and 176,749.68 is: 265,055.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,773.04 : 770,459.88 = 176,749.68 : x
  2. Step 2: Convert to fraction form
    513,773.04/770,459.88 = 176,749.68/x
  3. Step 3: Cross multiply
    513,773.04x = 770,459.88 × 176,749.68
  4. Step 4: Simplify right side
    513,773.04x = 136,178,537,242.84
  5. Step 5: Solve for x
    x = 136,178,537,242.84/513,773.04
  6. Step 6: Final answer
    x = 265,055.83

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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.