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Finding the Fourth Proportional to 473,210.40, 653,325.12 and 301,225.44

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Solution

The fourth proportional to 473,210.40, 653,325.12 and 301,225.44 is: 415,878.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,210.40 : 653,325.12 = 301,225.44 : x
  2. Step 2: Convert to fraction form
    473,210.40/653,325.12 = 301,225.44/x
  3. Step 3: Cross multiply
    473,210.40x = 653,325.12 × 301,225.44
  4. Step 4: Simplify right side
    473,210.40x = 196,798,146,735.05
  5. Step 5: Solve for x
    x = 196,798,146,735.05/473,210.40
  6. Step 6: Final answer
    x = 415,878.74

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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.