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Finding the Fourth Proportional to 710,930.88, 981,085.44 and 409,125.12

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Solution

The fourth proportional to 710,930.88, 981,085.44 and 409,125.12 is: 564,593.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    710,930.88 : 981,085.44 = 409,125.12 : x
  2. Step 2: Convert to fraction form
    710,930.88/981,085.44 = 409,125.12/x
  3. Step 3: Cross multiply
    710,930.88x = 981,085.44 × 409,125.12
  4. Step 4: Simplify right side
    710,930.88x = 401,386,698,370.25
  5. Step 5: Solve for x
    x = 401,386,698,370.25/710,930.88
  6. Step 6: Final answer
    x = 564,593.14

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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.