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Finding the Fourth Proportional to 601,465.30, 829,916.61 and 343,224.34

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Solution

The fourth proportional to 601,465.30, 829,916.61 and 343,224.34 is: 473,589.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,465.30 : 829,916.61 = 343,224.34 : x
  2. Step 2: Convert to fraction form
    601,465.30/829,916.61 = 343,224.34/x
  3. Step 3: Cross multiply
    601,465.30x = 829,916.61 × 343,224.34
  4. Step 4: Simplify right side
    601,465.30x = 284,847,578,325.72
  5. Step 5: Solve for x
    x = 284,847,578,325.72/601,465.30
  6. Step 6: Final answer
    x = 473,589.38

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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.