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Finding the Fourth Proportional to 297,661.40, 446,492.10 and 76,045.40

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Solution

The fourth proportional to 297,661.40, 446,492.10 and 76,045.40 is: 114,068.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,661.40 : 446,492.10 = 76,045.40 : x
  2. Step 2: Convert to fraction form
    297,661.40/446,492.10 = 76,045.40/x
  3. Step 3: Cross multiply
    297,661.40x = 446,492.10 × 76,045.40
  4. Step 4: Simplify right side
    297,661.40x = 33,953,670,341.34
  5. Step 5: Solve for x
    x = 33,953,670,341.34/297,661.40
  6. Step 6: Final answer
    x = 114,068.10

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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.