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Finding the Fourth Proportional to 685,881.12, 946,549.89 and 413,944.68

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Solution

The fourth proportional to 685,881.12, 946,549.89 and 413,944.68 is: 571,264.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    685,881.12 : 946,549.89 = 413,944.68 : x
  2. Step 2: Convert to fraction form
    685,881.12/946,549.89 = 413,944.68/x
  3. Step 3: Cross multiply
    685,881.12x = 946,549.89 × 413,944.68
  4. Step 4: Simplify right side
    685,881.12x = 391,819,291,320.09
  5. Step 5: Solve for x
    x = 391,819,291,320.09/685,881.12
  6. Step 6: Final answer
    x = 571,264.14

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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.