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Finding the Fourth Proportional to 402,082.32, 606,013.68 and 346,592.16

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Solution

The fourth proportional to 402,082.32, 606,013.68 and 346,592.16 is: 522,379.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,082.32 : 606,013.68 = 346,592.16 : x
  2. Step 2: Convert to fraction form
    402,082.32/606,013.68 = 346,592.16/x
  3. Step 3: Cross multiply
    402,082.32x = 606,013.68 × 346,592.16
  4. Step 4: Simplify right side
    402,082.32x = 210,039,590,340.75
  5. Step 5: Solve for x
    x = 210,039,590,340.75/402,082.32
  6. Step 6: Final answer
    x = 522,379.57

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.