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Finding the Fourth Proportional to 555,765.66, 766,946.58 and 314,043

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Solution

The fourth proportional to 555,765.66, 766,946.58 and 314,043 is: 433,373.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    555,765.66 : 766,946.58 = 314,043 : x
  2. Step 2: Convert to fraction form
    555,765.66/766,946.58 = 314,043/x
  3. Step 3: Cross multiply
    555,765.66x = 766,946.58 × 314,043
  4. Step 4: Simplify right side
    555,765.66x = 240,854,204,822.94
  5. Step 5: Solve for x
    x = 240,854,204,822.94/555,765.66
  6. Step 6: Final answer
    x = 433,373.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.