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Finding the Fourth Proportional to 297,465.71, 446,264.46 and 97,778.03

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Solution

The fourth proportional to 297,465.71, 446,264.46 and 97,778.03 is: 146,688.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,465.71 : 446,264.46 = 97,778.03 : x
  2. Step 2: Convert to fraction form
    297,465.71/446,264.46 = 97,778.03/x
  3. Step 3: Cross multiply
    297,465.71x = 446,264.46 × 97,778.03
  4. Step 4: Simplify right side
    297,465.71x = 43,634,857,526.49
  5. Step 5: Solve for x
    x = 43,634,857,526.49/297,465.71
  6. Step 6: Final answer
    x = 146,688.70

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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.