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Finding the Fourth Proportional to 341,055.60, 470,691.81 and 216,962.64

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Solution

The fourth proportional to 341,055.60, 470,691.81 and 216,962.64 is: 299,430.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,055.60 : 470,691.81 = 216,962.64 : x
  2. Step 2: Convert to fraction form
    341,055.60/470,691.81 = 216,962.64/x
  3. Step 3: Cross multiply
    341,055.60x = 470,691.81 × 216,962.64
  4. Step 4: Simplify right side
    341,055.60x = 102,122,537,723.98
  5. Step 5: Solve for x
    x = 102,122,537,723.98/341,055.60
  6. Step 6: Final answer
    x = 299,430.76

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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.