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Finding the Fourth Proportional to 465,484.17, 697,730.07 and 265,373.67

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Solution

The fourth proportional to 465,484.17, 697,730.07 and 265,373.67 is: 397,777.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,484.17 : 697,730.07 = 265,373.67 : x
  2. Step 2: Convert to fraction form
    465,484.17/697,730.07 = 265,373.67/x
  3. Step 3: Cross multiply
    465,484.17x = 697,730.07 × 265,373.67
  4. Step 4: Simplify right side
    465,484.17x = 185,159,189,345.26
  5. Step 5: Solve for x
    x = 185,159,189,345.26/465,484.17
  6. Step 6: Final answer
    x = 397,777.63

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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.