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Finding the Fourth Proportional to 341,248.32, 470,664 and 205,272

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Solution

The fourth proportional to 341,248.32, 470,664 and 205,272 is: 283,119.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,248.32 : 470,664 = 205,272 : x
  2. Step 2: Convert to fraction form
    341,248.32/470,664 = 205,272/x
  3. Step 3: Cross multiply
    341,248.32x = 470,664 × 205,272
  4. Step 4: Simplify right side
    341,248.32x = 96,614,140,608
  5. Step 5: Solve for x
    x = 96,614,140,608/341,248.32
  6. Step 6: Final answer
    x = 283,119.75

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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.