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Finding the Fourth Proportional to 341,384.14, 470,890.82 and 207,248.14

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Solution

The fourth proportional to 341,384.14, 470,890.82 and 207,248.14 is: 285,869.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,384.14 : 470,890.82 = 207,248.14 : x
  2. Step 2: Convert to fraction form
    341,384.14/470,890.82 = 207,248.14/x
  3. Step 3: Cross multiply
    341,384.14x = 470,890.82 × 207,248.14
  4. Step 4: Simplify right side
    341,384.14x = 97,591,246,588.07
  5. Step 5: Solve for x
    x = 97,591,246,588.07/341,384.14
  6. Step 6: Final answer
    x = 285,869.30

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1.5x scale

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.