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Finding the Fourth Proportional to 685,115.94, 945,395.96 and 409,419.10

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Solution

The fourth proportional to 685,115.94, 945,395.96 and 409,419.10 is: 564,960.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    685,115.94 : 945,395.96 = 409,419.10 : x
  2. Step 2: Convert to fraction form
    685,115.94/945,395.96 = 409,419.10/x
  3. Step 3: Cross multiply
    685,115.94x = 945,395.96 × 409,419.10
  4. Step 4: Simplify right side
    685,115.94x = 387,063,156,312.76
  5. Step 5: Solve for x
    x = 387,063,156,312.76/685,115.94
  6. Step 6: Final answer
    x = 564,960.08

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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.